A license plate is made of three letters and three numbers. How many different license plates are possible? (Recall there are 26 letters in the alphabet and 10 single digit numbers 0-9).

Answers

Answer 1

Using the permutations formula, it is found that: 11,232,000 different license plates are possible

----------------------------------------------------

The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.

----------------------------------------------------

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

----------------------------------------------------

In this question:

3 letters from a set of 26.3 digits from a set of 10.

Thus:

[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]

11,232,000 different license plates are possible

A similar problem is given at https://brainly.com/question/16812463


Related Questions

Dee spends $0.25, $0.30, $0.10 and $0.04.

How much $ does she spend in all?

Answers

Answer:

$0.69

Step-by-step explanation:

Add them all up.

Answer:

$0.64

Step-by-step explanation:

hope this helped :-)

can Someone help me ​

Answers

Answer:

B

Step-by-step explanation:

What is the volume of a sphere with a radius of 6 inches ​

Answers

Answer:

904.78 in I think but I'm not 100%

Answer:

V≈904.78

Step-by-step explanation:

V=4/3[tex]\pi[/tex][tex]r^{3}[/tex]

V=4/3[tex]\pi[/tex](6)^3

V≈904.78

I'm pretty sure this is correct.

If 4(r + 2) – 13 = 11, what is the value of r?

Answers

r=8
Hope this helps:)

Help me with this problem

Answers

Answer:

D. SSS

Step-by-step explanation:

Both sides are shown equal and it shares a side so that side is equal. Side Side Side.

Answer:

SSS

Step-by-step explanation:

Triangles are congruent by SSS postulate of congruence.

Penelope is raising money for a school trip by selling bags of chips and fruit snacks. The price of each bag of chips is $1.75 and the price of each fruit snack is $1.50. Yesterday Penelope made $42.50 and sold 15 more bags of chips than fruit snacks. Determine the number of bags of chips sold and the number of fruit snacks sold.

Answers

Answer:

bag of chips - 20 ; number of fruit snacks - 5 .

Step-by-step explanation:

Una limusina cuesta $ 85 para alquilar por 3 horas más un 7% de impuesto sobre las ventas. Cúal es el costo total
alquilar una limusina por 6 horas?

Answers

Answer:

$181.9

Step-by-step explanation:

Si cuesta 85 dólares por 3 horas, queremos duplicarlo para obtener la cantidad por 6 horas, que es 170 dólares. Esto es antes del impuesto a las ventas. Puede encontrar la cantidad después del impuesto a las ventas multiplicando 170 por 1.07. Hace esto porque el 100 por ciento del costo sería 170 por 1 y el 7 por ciento es .07, por lo que si desea el 107 por ciento del costo, debe hacerlo 170 por 1.07. Esto funciona porque toma el 7 por ciento de 170 y lo agrega al costo total. También puede hacer esto 170 veces .07. Luego suma el producto a 170. 181,9 es la respuesta final.

English- If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.

Help megagaagsgsh fdndjfjdd

Answers

Step-by-step explanation:

a) The graph shows how many adults and youths attended the movies on Friday, Saturday and Sunday.

b) On Friday, more adults attended the movies then youths.  On Saturday and Sunday, more youths attended the movies then Adults.

c) 1) Saturday is the most popular day to go to the movies because there was 500 adults and 650 youths for a total of 1150 people.  Friday had 950 people and Sunday had 800 people.

In a survey of 1,500 people who owned a certain type of​ car, 300 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

20%

Step-by-step explanation:

Step one:

total number of people surveyed= 1500

we are told that 300 people would buy that car again,

this implies that they like the car and are satisfied with it

Step two:

the percent of people satisfied can be computed as

=300/1500*100

=3/15*100

=1/5*100

=0.2*100

=20%

The people surveyed were satisfied with the​ car are 20%

I want to do someone's IXL'S preferably math

Answers

Answer:

R u asking or u telling

Step-by-step explanation:

Helpppppp plzzz nowwww

Answers

5.7 i believe is the answer

Answer: side AB is 5.7 units

Step-by-step explanation:

If you look at the congruence marks on the angles, you can see that side AB and side KL correspond. Since we know KL is 5.7, AB must be 5.7 as well. :)

Simplify the expression by adding or subtracting the linear expressions. 9x - 20 - 8x + 2 *
-11x - 6
17x - 18
x -18
22x + 17

Answers

Answer:

9x - 20 - 8x + 2 * -11x - 6 +17x - 18 +x -18 +22x + 17

If you mean so, then this is the answer

19x-45

Which statement is correctly written as a conditional statement?

A) Any four-sided shape is a quadrilateral.
B) A shape has four sides when it is a quadrilateral.
C) If a shape has four sides, then it is a quadrilateral.
D) A shape has four sides, or it is a quadrilateral.

Answers

Answer:

C

Step-by-step explanation:

If a shape has four sides, then it is a quadrilateral.

If a shape has four sides, then it is a quadrilateral so option (C) will be correct.

What is quadrilatereal?

A quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.

In other meaning, a quadrilateral is a kind of polygon in which four sides for example rectangle, square, and parallelogram are quadrilateral.

a quadrilateral is a four-sided polygon, having four edges and four corners

A parallelogram is a basic quadrilateral with two sets of parallel sides.

The confronting or opposing sides and the opposing angles of a parallelogram are of equal length.

A quadrilateral is a quadrilateral because it has four sides not because it is quadrilateral so it has four sides.

For example, 4 sides are equal so the square is not due to the square all lines will same.

Hence If a shape has four sides, then it is a quadrilateral.

To learn more about quadrilateral,

https://brainly.com/question/13805601

#SPJ2

Solve x-4<3 graph the solution

Answers

Answer:

x<7

Step-by-step explanation:

move coefficeint and put it on inequality graph

Answer:

it should have an open circle on 7 and an arrow going to the left

Step-by-step explanation:

hope this helps

8. A yard is closest in distance to a
a. kilometer.
b. centimeter.
C. meter.
d. millimeter.

Answers

Answer:

meter

Step-by-step explanation:

Answer:

Meter

Step-by-step explanation:

Kilometer is too long

Centimeter is too shot

Millimeter is way too short

Meter is the closest to yard

1 meter equals 1.09361 yards

The four Western provinces cover about 2/7 of Canada's area. Alberta covers about 1/14 of Canada's area. What fraction describes how much of Canada's area is covered by British Columbia, Manitoba, and Saskatchewan? Explain

Answers

Answer:5/14

Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered

Use square roots to solve the equation x^2 = −25 over the complex numbers. Enter your answers in numerical order.

Answers

Answer:

Step-by-step explanation:

x^2= -25

x=5i and -5i

Answer:

The answer is 5

Step-by-step explanation:

x^2= -25

x=√-25

x=5

travels only on Saturdays and Sundays and has miles this month. Travels every weekday and has miles this month. If they each travel about the same number of miles each​ day, who travels more miles per day for this​ month?

Answers

Complete question :

William travels only on Saturdays and Sundays and has flown 400 miles this month. Jason travels every weekday and has flown 500 miles this month. Who travels more miles per day for this month

Answer:

WILLIAMS ; 50 miles per day

Step-by-step explanation:

Given that :

Williams travel times = Saturdays and Sundays

Total distance traveled = 400 miles

Jason travel times = Every weekday

Total distance traveled = 500 miles

Number of weeks in a month = 4

Hence, saturdays and Sundays = 4 * 2 = 8 days

Weekdays = 5 * 4 = 20 days

Miles traveled per day:

Williams :

Total distance / number of days

= 400 miles / 8 days

= 50 miles per day

Jason :

Total distance / number of days

= 500 miles / 20 days

= 25 miles per day

50 > 25

Hence, Williams travel more miles per day than Jason

She visited Creepy Cavern at (-2, 5), Bernie's Barn at (-3, 2), Sweet Symphonies at (-3, -1), Rock and Roll Hall at (-2, -4), Whimsical Wonders at (3, -4), Mystery Mansion at (3, 2), and Star Gazing Point at (5, 5). Which of these pairs of places are more than 6 units from one another?

Answers

Answer:

We need to find the distance between the pairs of points to know which is greater than 6units. To do that we make use of this formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where [tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] are two points on the line.

Let us denote Creepy Carven with CC, Bernie Barn as BB, Sweet Symphonies as SS, Rock and Roll Hall as RR, Whimsical Wonders as WW, Mysterial Mansion as MM and Star Grazing point as SG.

The distance between CC (-2, 5) and BB(-3, 2) using that formula will be:

[tex]d = \sqrt{(-3 + 2 )^2 + (2 - 5)^2}[/tex]

Which is [tex]d = \sqrt{(-1 )^2 + (-3)^2}[/tex]

That gives

[tex]d = \sqrt{10} < 6[/tex]

If we do this for BB to SS we have our value greater than 6, SS to RR our value greater than 6, RR to WW greater than 6, WW to MM is equal to 6 and MM to SG is less than 6.

From here we conclude that the pairs of places greater than 6 is:

BB to SS

SS to RR

RR to WW

WW to MM

Answer:

First, plot each of the points and label them.

Determine the distance between the pairs of places listed in each answer choice.

Since Whimsical Wonders and Rock and Roll Hall lie on the same horizontal line, the distance between the two points is the absolute value of the difference of the x-coordinates.

Using this same process, the distance between Bernie's Barn and Mystery Mansion is 6 units, and the distance between Creepy Cavern and Star Gazing Point is 7 units.

Since the Mystery Mansion and Whimsical Wonders lie on the same vertical line, the distance between the two points is the absolute value of the difference of the y-coordinates.

Using this same process, the distance between Rock and Roll Hall and Creepy Cavern is 9 units, and the distance between Sweet Symphonies and Bernie's Barn is 3 units.

Therefore, the pairs of places that are more than 6 units from one another are Creepy Cavern and Star Gazing Point and Rock and Roll Hall and Creepy Cavern.

Step-by-step explanation:

Which equation would you use to find the value of x?

Answers

Answer:

The answer is C. (4x+12)+8x=180

Answer:

C

Step-by-step explanation:

alt. interior angles are congruent, so don't worry about y

also, because of alt. int. angles, we know that (4x+12)+8x=180

we can solve it by grouping like terms to get x=14

Given f(x) = 9(2 - x), what is the value of f(-3)?

Answers

Answer:
f(-3)=45

Explanation:
To find f(-3), we plug in -3 as x.

f(x)=9(2-x)
f(-3)=9(2-(-3))
f(-3)=9(2+3)
f(-3)=9(5)
f(-3)=45

I hope this helps!

Answer:

Step-by-step explanation: find the exact value by using trigomectric identities

:(((
Mrs. Roslin has 32 students in her class. Of these students, 14 are girls. She chooses one boy and one girl at random to help pass out papers. Determine the total number of outcomes.
(Basically how many different outcomes can be made... no explanation needed.)

Answers

Answer:

2 outcomes

Step-by-step explanation

The Roslin has 32 students in her class, of these students, 14 are girlsl number of outcomes are 252.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The total number of outcomes can be found by multiplying the number of options for choosing a boy by the number of options for choosing a girl:

Number of outcomes = number of options for choosing a boy x number of options for choosing a girl

Since Mrs. Roslin has 32 students in her class, there are 32 - 14 = 18 boys in her class.

So the number of options for choosing a boy is 18, and the number of options for choosing a girl is 14.

Therefore, the total number of outcomes is:

18 x 14 = 252

Hence, the total number of outcomes is 252.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ3

Factor the algebraic equation
36a+20

Answers

Answer:

4(9a+5)

Step-by-step explanation:

Answer:

4(9a+5)

Step-by-step explanation:

Their common factor is 4 so divide both by 4 and put it in parentheses times 4  

Confused on the steps and I need help

Answers

9514 1404 393

Answer:

  3) y = -1

  5) x = -14

Step-by-step explanation:

The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.

__

3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:

  y = -1

__

5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:

  x = -14

Determine o valor do termo representado pela incógnita nas proporções a seguir.

a) x6= 32

b) 15= 4y

c) 2x+39= 57

Me ajudem pelo amor de deus

Answers

Answer:

a. x6= 32

x = 32/6

x = 5.33

b. 15 = 4y

4y = 15

y = 15/4

y = 3.75

c. 2x+39= 57

2x = 57 - 39

x = (57 - 39)/2

x = 9

4. What is the slope of a line that is parallel to the line described by 3x + 2y = 8?
a.
m = 3
b.
m= 3/2
c.
m= -3/2
d.
m= 2

Answers

The answer is :

B. M=3/2

EASY HIGH POINTS

In parallelogram WXYZ, the longer sides are three times the length of the shorter sides.

Parallelogram W X Y Z. The length of sides W Z and X Y are 12 inches.

If W Z = 12 inches, what is the length of ZY?
3
4
8
12

Answers

Answer:

D. 12

Step-by-step explanation:

12 by 3 is 36 and since its three times the length if you divide it by 3 it would be 12.

Answer:

4

Step-by-step explanation:

Can anyone help me please ??

Answers

Answer:

c equal 11.40 Step-by-step explanation: c is the hypotenuse so under square root 9^2 +7^2

Answer:

√130 ≈ 11.4

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

9² + 7² = c²

130 = c²

√130 = √c²

√130 = 11.4

Will give BRAINLIEST The two points and (–3, –2) and (4, 8) are part of a line with a slope of:

Answers

Answer:

slope of 10/1 or simplified to 10

Step-by-step explanation:

Answer:

slope is 10/7

Step-by-step explanation:

use the formula or plot the points on a graph to get the slope is 10/7

Find the height of the tree in the diagram shown.

Answers

Can you please show a diagram thanks

Answer:

Assuming we have the same question, the answer would be: D) h = 45tan59° ft

Step-by-step explanation:

Other Questions
IDK WHY T.F I'M ASKING BUT PLZ HELP FOR REALhow is the setting important in the gentleman of rio en medio? One-third of a number t is equal to 7.Write the word sentence as an equation then solve HELP ME RIGHT NOW PLEASE. . . Budget cuts always eliminate the least necessary. We drop premium cable before heat or electricity. Harvards decision [to close the primate research center] suggests that it, too, knows that primate research isnt a necessary expense or a justifiable cruelty. But the monkeys will not celebrate if sent to another lab, as planned. They deserve protection from further harmful research. Sanctuaries, with financing, would be able to take them. I hope that Harvard, which has profited plenty, will do the right thing: Retire the monkeys with the support necessary to live the rest of their lives in safety and comfort [in a primate nature preserve]. What is the claim of this article? a The main claim is We drop premium cable before heat or electricity. b The main claim is Harvard should retire the monkeys to a nature preserve. c There is no claim in this letter. What is 70% of 900Pls answer quickly Read the passage then answer the question below:The OrnithopterMany people know Leonardo da Vinci today as an artist, and it is true that he was indeed a great painter and sculptor, but he was also an inventor and one of the first individuals in recorded history to draft detailed plans for a flying machine.In order to make a living, Leonardo often depended upon wealthy individuals who would commission work from him. That means they would hire him and pay him to create specific work they wanted. In 1482, when he was 30 years old, Leonardo heard of an opportunity to work for Ludovico Sforza, the Duke of Milan. The duke, however, did not want a painter; he wanted a military engineer to help him defend the city against its enemies. This was an excellent opportunity that would pay Leonardo well, but Leonardo was a peaceful man. He considered war to be a beastly madness. He preferred to make things of beauty.Leonardo made the decision that he could tolerate making weapons if the resources the duke could provide would also allow him to create things he loved. He sent a letter to the duke detailing his skills in designing and building weapons. I will assemble catapults, mangonels, trebuchets and other instruments of wonderful efficiencyI will make an infinite number of items for attack and defense, he wrote.Leonardos letter convinced the duke of his talents, and he got the job. He set about designing the weapons that the duke desired. But Leonardo was infinitely creative, always thinking of new things, new ideashe could not be limited to weapons alone. One idea that he had not mentioned in his application was the ornithopter. It was not a weapon of war, and it was not something that the duke had asked for, but Leonardo went ahead and designed it anyway.Leonardo was fascinated by the idea of flight. The word ornithopter comes from two words meaning bird and wings. And on first inspection, his plans resembled a birds wings attached to a human beings arms. He concluded that a human beings arms were neither strong enough nor light enough to stay in the air for long. So, his design included sets of foot pedals and levers that were operated with the hands. He created detailed plans and presented them to the duke, uncertain of how the duke would react to a design for which he didnt ask.As it turned out, the duke was very impressed with the ornithopter, but it wasnt Leonardos innovation that excited him. He immediately thought of the ways this machine could be used in war. If a spy could fly over the enemys camp, imagine what information he could gather! This was not what Leonardo had intended for his beautiful flying machine.But how Leonardo felt about war turned out not to matter in the end. His ornithopter was never builtalong with his designs for tanks, parachutes, diving suits, machine guns, and even robots that he created for the duke. The ideas of Leonardo da Vinci were centuries ahead of the technology needed to make them.He concluded that a human being's arms were neither strong enough nor light enough to stay in the air for long. So, his design included foot pedals and levers that were operated with the hands.Which type of conflict is expressed in this excerpt?Question 8 options:individual vs. societyindividual vs. individualindividual vs. selfindividual vs. nature Help me plz!!!!!Compare the origins and central ideas of Buddhism and Hinduism. Describe at least one similarity and one difference between the religions origins and beliefs. Be sure to clearly develop and organize your ideas, use supporting evidence from the unit, use correct grammar, spelling, and sentence construction. (4 points) How many grams of oxygen gas will be produced when 2.50 moles of potassium chlorate is decomposed? The confinement of Japanese Americans to relocation camps during World War II is an example ofa. population transfer.c. assimilation.b. subjugation.d. cultural pluralism. 9. Which choice best describes the impact of Miki's visions of his past?They give the reader a clear picture of Miki's puppyhood.H. UpwasThey help the reader understand why Miki is drawn to the pack.aatL-andThey emphasize how much Miki misses his mother and father.utThey reinforce the idea that Miki is overwhelmed by the wolves.estsnaCLEAR ALLife, -5(2 - 4)=2(x - 8) with work please :) For the following reaction at equilibrium SO3(g) + NO(g) = SO2(g) + NO2(g)It is found that [SO2] = 0.70 M and [NO] = 1.20 M. Calculate the equilibrium constant for the readction knowing that the initial concentration were [SO3] = 2.55 M and [NO] = 1.90 M. Can anyone help me please ?? 2(x+7)=-4x+14Solve this for 15 points. 4. What is the slope of a line that is parallel to the line described by 3x + 2y = 8?a.m = 3b.m= 3/2c.m= -3/2d.m= 2 Write one or two sentences stating how the source will help you. pls help Bentley found the notes below that he took during health science class in school. However, they are missing a title.Medical professionals are likely to give them during their career, for example, when delivering staff training. It isa good idea to use visual aids and give handouts. To be most effective, choose a topic you are familiar with,practice in advance, speak clearly, and provide opportunities for the audience to respond.What is the most accurate title for his notes?how to prepare a verbal reportall about written reportswriting professional letterswhat are oral presentations? Use context clues to define the word in italics.During the 1970s, the United States faced a gasoline shortage. Prices increased while people waited in lines to fill their cars.What does the word shortage mean? A. running out of room B. resourceful C. sufficient D. lack of a supply During the summer months, the prices of nonsmoking rooms with a king-sized bed in hotels in a certain area are roughly Normally distributed with a mean of $131.80 and a standard deviation of $29.12. A travel agent randomly selects prices of nonsmoking rooms with a king-sized bed from 15 hotels in the area. What is the probability that their average cost will be more than $150?a) 0.0077b) 0.3678c) 0.2660d) 0.1125 Which equation would you use to find the value of x? Confused on the steps and I need help