A play has two different male roles, two different female roles and two different roles that can be either gender. Only a man can be assigned to a male role, and only a woman can be assigned to a female role. If five men and six women audition, in how many ways can the six roles be assigned?

Answers

Answer 1
5*4 for the male roles
6*5 for the female roles
after they are assigned
7*6 for the either gender
20+30+42 =92 total ways
or
20*30*42= 25200 total ways
Answer 2

There are total 66,000 ways the six roles can be assigned.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since only a man can play a male role,

We have 5 options for the first male role and 4 options for the second male position (because a guy cannot play both roles).

So there are 5x4 = 20 options for male roles.

Next, consider how many different ways the female positions can be filled. Because only a woman can play a female role,

We have six options for the first female role and five options for the second female position (because a woman cannot play both roles).

So there are 6x5 = 30 possibilities for female roles.

Finally, consider how many different ways the gender-neutral roles can be filled. Because any of the 11 actors can play these parts,

We have 11 options for the first gender-neutral role and 10 options for the second (because one actor cannot play both roles).

So there are 11x10 = 110 possibilities for gender-neutral jobs.

To find the total number of ways the six roles can be assigned,

we multiply the number of ways to fill each set of roles,

Hence,

20 x 30 x 110 = 66,000.

Learn more about the multiplication visit:

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Related Questions

use the figure above to determine the measure. What is the measure of angle ABC?
a. 21°
b. 42°
c. 66°
d. 84°

Answers

b. 42 because you divide it by 2

Hector buys batteries for his Gameboy. He knows that
3 packs of batteries cost $4.26. How much should
Hector expect to pay for 5 packs of batteries?

Answers

The answer for 5 pack of batter is 7.10

Brain ordered 3 large cheese pizzas and a salad. The salad cost $4.95. If he spent a total of 47.60 including the $5 tip, how much did each pizza cost? ( assume there is no tax)

Answers

Answer:

Each Pizza will cost $12.55

Step-by-step explanation:

we first going to subtract the following

$47.60 - 5 - 4.95 = $37.65

$37.65 / 3 (the number of pizza ) = $12.55

$12.55

Step-by-step explanation:

Amount spent on 3 pizzas= Total —( amount spent on salad + tip)

=460—(4.95+5)

= $37.65

cost of each pizza= 37.65÷3

= $12.55

6.632.512 what is the value 3

Answers

Answer: i don’t know you can search it up

Step-by-step explanation:

The value of three is 3.
And can I have Brainliest?

CAN SOMEONE PLEASE TELL ME THE VALUE OF X, EQUATION, AND ANGLE MEASURES!!

Answers

Answer:

8x+10 = 12x - 18

28 = 4x

x = 7

Step-by-step explanation:

question for math; 2m3n-4/p-6

Answers

Answer:

2m3np−6p−4p

Step-by-step explanation:

That is the answer

Chris buys 5 apples for $2.60 .How much does one apple cost​

Answers

Answer:

.52¢

Step-by-step explanation:

One apple cost 52 cents. The expression below represents the cost of an apple.

5a =2.60

5a/5= 2.60/5

a =0.52

Answer:

Each apple costs $0.52.

Step-by-step explanation:

Christ spent a total of $2.60 for 5 apples. We want to find the cost of one apple.

To find this: total cost/total apples

2.60/5 = 0.52

Each apple costs $0.52.

Let's check our answer.

If one apples costs $0.52, 5 apples should cost 0.52 • 5

0.52 • 5 = 2.60

This is how much Christ spent; therefore your answer is correct.

Hope this helps!

An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times

Answers

Answer:

[tex]\frac{1}{25} =0.04[/tex] (Unusual)

Step-by-step explanation:

1/5 for one drawing

1/5 chance to win once, if there is only one game.

Then multiply them together to get 1/25.

If you need in decimal form 1/25 = 0.04 (unusual)

If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

What is Permutation and Combination ?

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.

An individual can win a prize by drawing the highest numbered card out of five cards.

Given that an individual makes 7 draws

p = 1/5  =  0.2

q = 1-P =0 .5

5 times corresponds to B( 7 , 0.2)

P(x = 2) = 7 C₂ (0.7)² (0.8)⁵

= 21 * 0.04 * 0.3277

= 0.2753

Therefore If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753

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Find derivative y=x^3-3x+2 step by step

Answers

Answer:

mark me branlist plz

Step-by-step explanation:

3x^2-3 step 1 - 3(2)^2-3=9

step 2 x=2, y=(2)^3- 3(2)+4

(2,6)

step 3 y=mx+b

6=9(2) +b

b=-12

y=9x-12 yr welcome have a great day

answer and show proof for brainliest

Answers

Answer:

12

Step-by-step explanation:

Add each number given = 132

132 / 6 (amount of given numbers)

=12

1. add all value together: 24+31+12+38+12+15= 132

2. divide answer by amount of numbers added together: 132/6=22

3. Answer: the mean is 22

Solve the following inequalities and give the solutions in both set and interval notations.

-2x + 5 < -x + 25

Answers

4y + 3 > 23 subtract 3 from both sides
4y > 20 divide both sides by 4
y > 5

-2y > -2 divide both sides by -2 (the order changes)
y < 1

(-oo, 1) ∪ (5, oo)


What is the standard form polynomial representing the volume of this shipping container?

Answers

Answer:

Volume = (24x⁵ + 78x⁴ - 147x³ - 624x² - 360x)

Step-by-step explanation:

Container given in the picture is in the shape of a cuboid.

And volume of a cuboid is measured by the expression,

Volume of a cuboid = Length × width × height

Now substitute the measure of the container's dimensions given in the picture

Volume = (4x² + 3x)(x²- 8)(6x + 15)

             = [(4x² + 3x)(x²- 8)](6x + 15)

             = [4x²(x² - 8) + 3x(x² - 8)](6x + 15)

             = (4x⁴ - 32x² + 3x³ - 24x)(6x + 15)

             = (4x⁴ + 3x³ - 32x² - 24x)(6x + 15)

             = 6x(4x⁴ + 3x³ - 32x² - 24x) + 15(4x⁴ + 3x³ - 32x² - 24x)

             = 24x⁵+ 18x⁴ - 192x³ - 144x² + 60x⁴ + 45x³ - 480x² - 360x

             = 24x⁵ + 78x⁴ - 147x³ - 624x² - 360x

Answer:

V = 24x⁵+78x⁴-147x³-624x²-360x

Step-by-step explanation:

help, please will give Brainliest

Answers

9514 1404 393

Answer:

  A.  57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

  V = LWH

  V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

  V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

__

If you feel the need to compute the volume exactly, you can do so using improper fractions.

  V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

What is the slope of the line that passes through the points (-3, 1)(−3,1) and (7, -14) ?(7,−14)?

Answers

Answer: The answer for both is infinity. You might want to recheck the question as it is not very common but if the question is correct this is the answer to it:

Step-by-step explanation:

1. Using the formula m = y2 - y1 / x2 - x1

m = 1 - 1 / -3 -(-3)

m = 0/0

m = infinity

2. Using the formula m = y2 - y1 / x2 - x1

m = -14-(-14) / 7-7

m = 0/0

m = infinity.

The preimeter of a rectangle is 50 inches. The width of the rectangle is 10 inches. What is the length of the rectangle?

Answers

Perimeter = 2(L + W)
2(L + 10) = 50
2L + 20 = 50
2L = 30, L = 15
Solution: the length is 15 inches

Exercises/Activities
Activity 1:
A. Tell whether the following represent a POINT, LINE O PLANE.
1 moon
9. stars at night
2 flagpole
10. bed surface
3 rooftop
11. holen
4 eyes
12. wire
5. playground
13. mole
6. string
14. hair strands
7 edge of door
15. TV screen
8. pimples

Answers

Answer:

Sorry but it's too hard to answer

Answer:

hiiiiiiiiiiiiiiiiiiii

Can anyone help with this?? I need this grade but I just don't get it. Joshua has a ladder that is 12.8 ft long. He wants to lean the ladder against a vertical wall so that the top of
the ladder is 11 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground
to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to
support your answer.

Answers

Answer:

Yes the ladder is safe because 59.25 degrees < 75 degrees

Step-by-step explanation:

In the below photos I have included a screenshot of the equation I used, which I got from another user, and my work with an unfinished diagram and completed equations to the side

What is the Area of Triangle RST? Round your answer to the nearest tenth. *

Answers

Answer:

Step-by-step explanation:

Answer:

88.5

Step-by-step explanation:

formula = ab ×(sin∅)/2

= 18×12 × (sin 55)/2

= 88.5

Mario found 12 rocks for his rock collection. His sister found five times as many rocks as Mario. How many rocks did Mario’s sister find? *

Answers

Answer:

60 rocks

Step-by-step explanation:

12x5 = 60

Answer:

Step-by-step explanation:

marios sister found 60 rocks do 12x5.

to listen 4.Rico used different units to measure this bulletin board. Which unit did he use the fewest of? A. inches listen B. all the same ta C. centimeters D. meters​

Answers

is there a table or something you can add because I cant tell anything with the information you gave.

Solve the following inequalities and give the solutions in both set and interval notations.

-2x + 5 < -x + 25

Answers

Answer:

x> -20

x= -19,-18,-17,-16,.....

Step-by-step explanation:

-2x + 5 < -x + 25

-2x + x < 25- 5

-x < 20

x> -20

x= -19,-18,-17,-16,......

PLEASE HELP
Drag each expression to the correct location on the table.
Place each algebraic expressions next to its corresponding verbal description.
5.13
45
523 – 4 3
513
the difference of 5 times the cube of x cubed and
the quotient of 4 times x and 3
5 times the cube of x divided by 4 times x
the quotient of the difference of 5 times x cubed and 4 and x
the cube of the difference of 5 times x and 4

Answers

Answer:

(a)

x cubed is

=x^3=x3

5 times the cube of x is

=5x^3=5x3

4 times x is

=4x=4x

the quotient of 4 times x and 3 is

=\frac{4x}{3}=34x

so,

the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3 is

=5x^3-\frac{4x}{3}=5x3−34x ..........Answer

(b)

5 times cube of x is

=5x^3=5x3

5 times cube of x divided by 4 times x is

=\frac{5x^3}{4x}=4x5x3 ..........Answer

(c)

difference of 5 times x cube and 4 is

=5x^3 -4=5x3−4

so,

the quotient of the difference of 5 times x cube and 4 and x is

=\frac{5x^3-4}{x}=x5x3−4 ...........Answer

(d)

difference of 5 times x and 4 is

=5x-4=5x−4

so,

the cube of the difference of 5 times x and 4 is is

=(5x-4)^3=(5x−4)3 ............Answer

Absolute value of 44 is

Answers

Answer:

44

Step-by-step explanation:

The absolute value of a number tells us how far the number is from 0 on a number line. Because 44 is 44 places away from 0, the absolute value of 44 is 44.

The absolute value of -44 would also be 44 because it's also 44 places away from 0.

I hope this helps!

it’s 44 absolute value is when you turn your number into a positive number you already have that so it’s 44.

Factor this expression. 3x² - 6x O A. 3x(x - 2) B. 3x(x2 - 2) O C. 3(x-2) D. 3072 - 2)​

Answers

The answer is A. 3x(x-2).

Answer:

A. 3x (x-2)

Step-by-step explanation:

Question:

To factorise

3x² - 6x

Solution:

3x² - 6x

[Taking common term out]

= (3x × x) - (3x × 2)

= 3x ( x - 2)

Result:

Hence, factorised answer of 3x² - 6x is 3x (x-2) (Ans)

Which of these sets of numbers contains no rational numbers?
NEED ANSWER NOW!​

Answers

Answer:

the first option

Step-by-step explanation:

for a number to be rational, it should be able to be expressed as a fraction.  Non terminal decimals must have a repeating pattern. Square roots of random numbers aren’t rational. Just like the first rule with decimals, the third number cannot be expressed as a fraction

Answer:

Step-by-step explanation:

it’s the first one

Find the value of x plssssssss

Answers

Answer:

150 degrees

Step-by-step explanation:

Hi,

Since one of the angles is 30 degrees and this is a line, we know that 30 + u must equal 180 degrees.

30 + u = 180

Subtract 30 from 180 to find the value of u.

u is 150 degrees.

I hope this helps :)

Answer: 150 degrees

Step-by-step explanation:

A line is 180 degrees in total, since that acute angle is 30 degrees you just subtract 30 from 180, which gives you the other side ( which has to equal 180) of 150 degrees. If it were 40 degrees ( instead of 30) it would be 140 degrees on the other side.... etc

I need the answer please and thank you worth 78 brainly points

Answers

Answer:

8+4pi

Step-by-step explanation:

2pi(r) = 8pi

8pi/2 = 4pi

8+4pi

step 2. divide the amount of rice by the total 50/5=10​

Answers

Answer:

oo nvjfdifhdkvcbjkggnnvv

Step-by-step explanation:

please mark me answer banilist

Betty correctly determined that the ordered pair (–3, 5) is a solution to the system of linear equations 6 x + 5 y = 7 and x + 4y = 17. Based on this information, which statement is correct?

Answers

Answer:

(-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.

Answer:

D

Step-by-step explanation:

Let f(x) = - 4x + 5. Find and simplify f(3a-4).
f(3a-4)=
(Simplify your answer.)

Answers

Answer:

-12a+21

Step-by-step explanation:

-4*(3a-4)+5

-12a+16+5

-12a+21

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