Answers
Given:
The combination C(14,10).
To find:
The value of the given combination.
Solution:
We know that,
[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
Using this formula, we get
[tex]C(14,10)=\dfrac{14!}{10!(14-10)!}[/tex]
[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11\times 10!}{10!(4)!}[/tex]
[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11}{4\times 3\times 2\times 1}[/tex]
[tex]C(14,10)=7\times 13\times 11[/tex]
[tex]C(14,10)=1001[/tex]
Therefore, the value of C(14,10) is 1001 and the correct option is B.
The equivalent expression of "[tex]C(14,10)[/tex]" is "1001".
Equivalent expression:using formula:
[tex]\to ^n C_r=\frac{n!}{r!(n-r)!}[/tex]
putting the given value into the above formula:
[tex]\to ^{14} C_{10}=\frac{14!}{10!(14-10)!}[/tex]
[tex]=\frac{14 \times 13 \times 12 \times 11 \times 10! }{10! \times 4 \times 3 \times 2 \times 1}\\\\=\frac{14 \times 13 \times 12 \times 11 }{ 4 \times 3 \times 2 \times 1}\\\\={7 \times 13 \times 11 }{}\\\\=1001[/tex]
Therefore, the final answer is "1001".
Find out more information on the equivalent here:
brainly.com/question/17733453
Related Questions
If you help me u are the best ;)
Answers
Answer:
Area = (8 + 2x)² mi²
Step-by-step explanation:
Length of the side of a park = 8 mi
Width of the road around the park = x mi
Length of one side of the park with the road = (8 + 2x) mi
Area of the park with road = (side)²
= (8 + 2x)²
Therefore, combined area of the park and road is (8 + 2x)² square miles.
PLS HELP ME I WILL GIVE YOU BRAINLIEST!
Answers
What is the value of n?
Your answer in the box n=
5m 15m n 2m
Answers
Answer:
12.5
Step-by-step explanation:
because it's a progress
pls answers, my test in 20 mins
Answers
Answer:
1) 10r
2) 5h
3) 7+2d
4) 15ey
5) 5e * 4y = 20ey
6) 4r+10s
7) 7z
8) 36p^2
9) 16r^2
Step-by-step explanation:
Find the circumference use 3.14 for the value of
Answers
Answer:
the answer is 69.3
Step-by-step explanation:
Which ratio is equivalent to the ratio 33:39?
A. 26:22
B. 22 to 26
C. 22 to 13
D. 13:22
Answers
9514 1404 393
Answer:
B. 22 to 26
Step-by-step explanation:
Multiply each value in the ratio by 2/3 to see an equivalent that is among the choices.
33 : 39 = (2/3)(33) : (2/3)(39) = 22 : 26
Together Jason and Judy have read 24 mystery novels. Judy has read less than three times as many as Jason. How many mystery novels have each of them read.
Answers
Omitted / Incomplete Question : Judy has read 4 Less than three times as many as Jason
Answer:Jason has read 7 mystery novels and Judy has read 17 mystery novels
Step-by-step explanation:
Total number of mystery books read by Jason and Judy =24
Let Number of mystery books read by Jason=x
and Number of mystery books read by Judy= 3x-4
So that the total number of book read by both of them will be expressed as
x +(3x-4) =24
x +3x-4 =24
4x=24+4
4x=28
x=28/4=7
There fore Jason has read 7 mystery novels
and Judy = 3x-4 = 3 X 7- 4 =21-4=17mystery novels
3/5(a + 5.25) = 7.35 What does a equal
Answers
Answer:
a = 7
Step-by-step explanation:
Let's solve your equation step-by-step.
3/5(a+5.25)=7.35
Step 1: Simplify both sides of the equation.
3/5(a+5.25)=7.35
(3/5)(a)+(35)(5.25)=7.35 (Distribute)
3/5a+3.15=7.35
Step 2: Subtract 3.15 from both sides.
3/5a+3.15−3.15=7.35−3.15
3/5a=21/5
Step 3: Multiply both sides by 5/3.
(5/3)*(3/5a)=(5/3)*(21/5)
a=7
Write an expression equivalent to m+m+m+m that is sum of two terms
Answers
the answer is 4m
and 2 plus 2 is 4
i don't know if I'm right
Which student has the greater median test score?
Answers
Answer:
amy, since the middle term is further up the graph
Step-by-step explanation:
median is the middle term, amy's middle term is further
a university directory has 25 pages filled with students' names. There are a total of 15,050 names in the directory. Each page has an equal number of names. How many names are on each page?
p l e a s e h e l p ; - ;
Answers
like terms have the same _____ with the same _______
Answers
Answer:
like terms have the same VARIABLES with the same POWER
:)
Answer:
Variables; Powers
Step-by-step explanation:
Like terms have the same variables with the same powers. Eg:-
[tex]3 {x}^{2} \: and \: 9 {x}^{2} [/tex]
These are like terms as they both have the same variables and powers
If JKLM is an isosceles trapezoid, find each value listed below. Help ASAP !!
Answers
Write an equation for the line shown above:
y = x +
Answers
Answer:
the answer is y=4x+3
Step-by-step explanation:
Determine the independent variable in the situation:
The more groceries people purchase, the more money people spend.
1.Money Spent
2.Number of groceries purchased
Answers
Explanation:
The money spent depends on the number of groceries purchased.
The number of groceries purchased doesn’t depend on the money spent.
Therefore the number of groceries spent is independent. And the money spent is dependent.
cat face x+4/5=45 sa il aflu pe x
Answers
Given:
The equation is
[tex]x+\dfrac{4}{5}=45[/tex]
To find:
The value of x.
Solution:
We have,
[tex]x+\dfrac{4}{5}=45[/tex]
Isolating the variable, we get
[tex]x=45-\dfrac{4}{5}[/tex]
[tex]x=\dfrac{225-4}{5}[/tex]
[tex]x=\dfrac{221}{5}[/tex]
[tex]x=44.2[/tex]
Therefore, the value of x is 44.2.
Solve a-3=13
What is Z
Answers
Answer:
a = 16 hope this helps
Step-by-step explanation:
PLZ HELP ME ITS ALMOST DUE
Answers
It’s question 2 pls help
Answers
Answer:
x= 22
Step-by-step explanation:
11x - 4 = 238
11x = 242
x= 22
Helpppppppppppp plz helpppppppppppppp
Answers
Answer:
trueeee :) that is my answer
simplify 6z + 9 + 3z + 2
Answers
Answer:
9z + 11
Step-by-step explanation:
6z + 9 + 3z + 2
9z + 9 + 2
9z + 11
Answer:
9z+11
Step-by-step explanation:
6z+9+3z+2
(6z+3z)+(9+2)
9z+11
Someone plz help me plz
Answers
Answer:
i woyld say 1/3 and 2/5
Step-by-step explanation:
they aer bigger parts then the other
Answer:
if you find both areas and compare them with a common denominator youll see that 8/15 and 1/6 is greater .
Nichole's rotating sprinkler waters her lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn Nichole can expect the sprinkler to cover?
Answers
Answer:
153.9 ft²
Step-by-step explanation:
Given that:
Radius of circular lawn = 7 feets
To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn
Area of a circle, A = πr²
A = π * 7 * 7
A = 153.93804
A = 153.9 ft²
PLEASE HELP I WILL MARK YOU BRAINLIEST determine the exact and approximat solutions for 4(x + 5)^2 = 21 show your steps
Answers
Answer:
x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x+5)^2=21
Step 1: Simplify both sides of the equation.
4x^2+40x+100=21
Step 2: Subtract 21 from both sides.
4x^2+40x+100−21 =21−21 4x^2+40x+79=0
For this equation: a=4, b=40, c=79
4x^2+40x+79=0
Step 3: Use quadratic formula with a=4, b=40, c=79.
x= −b±√ b^2−4ac/2ax
= −(40)+√ (40)^2−4(4)(79)/2(4)
x = 40^2±√ 336/8
x= −5+1/2 √ 21 or x = −5+ − 1/2√ 21
Answer: x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21
( I hope this was helpful) >;D
Can someone round these to the nearest .1
1.602564102564103
2.380952380952381
Answers
Answer:
1.6; 2.4
Step-by-step explanation:
five or more round up
4 or less leave as is
in a class of 80 students every student studied economic or geography or both If 65students study economic and 50students study geography how many students study both subjects
Answers
hey....lol i need help on this
Answers
Answer:
W = 32
Step-by-step explanation:
lol.
One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble. Each small bubble has a radius of 5 centimeters. What is the radius of the large bubble?
Answers
Answer:
R = 10 cm
Step-by-step explanation:
The area of a spherical shape is given by :
[tex]A=4\pi r^2[/tex]
Where
r is the radius of the sphere
ATQ,
One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble.
The radius of each small bubble is 5 cm
Using the given condition,
[tex]4\pi R^2=4\times (4\pi r^2)\\\\R^2=4r^2\\\\R=\sqrt{4r^2} \\\\R=2r\\\\R=2\times 5\\\\R=10\ cm[/tex]
So, the radius of the large bubble is equal to 10 cm.
Answer:
20cm
Step-by-step explanation:
5cm+5cm+5cm+5cm=20cm
Does anyone know this answer??
Answers
Answer:
153.50
Step-by-step explanation:
The summation of the angles of the triangles is 180 and m(<q) =m(<p) =13.25
So you will subtract the the two equal angles from the 180
Could someone please answer this for me and explain clearly how to do it?
Answers
Answer:
your answers will be
A》3
B》-4
Step-by-step explanation:
hope it helps you
have a great day!!!