1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LenaWriter [7]
3 years ago
8

If they want a sample committee consisting of four male and four female students, from a possible volunteer pool of eight male a

nd seven female students, how many ways can this committee be formed?
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0

Answer:

There are 2450 ways.

Step-by-step explanation:

We can pick first the 4 man, and then the 4 women. The configuration of men and women are independant with each other, so the total of possibilities is obtained by multiplying the total possibilities to pick 4 men and the total possibilities of picking 4 women.

To pick 4 men from a group of 8, the total number of possibilities is the amount of ways to pick 4 elements from a group of 8. This number is represented by the combinatorial number of 8 with 4

{8 \choose 4} = \frac{8!}{4!4!} = 70

To pick 4 women from a group of 7, we need to count the total amount of ways to pick 4 elements from a group of 7. This is the combinatorial number of 8 with 7

{7 \choose 4} = \frac{7!}{4!3!} = 35

Hence, the total amount of ways to pick 4 men and 4 women from a group of 8 men and 7 women is 70*35 = 2450.

You might be interested in
Heidi hikes two trails, the Big Trapezoid and the Little Trapezoid. The shorter base of the Big Trapezoid is 2 mi long, while th
Ivenika [448]
If the shapes are similar and the smaller trapezoid's long base is half of the big trapezoid's long base than that means that the small trapezoid's short base would be half of the big trapezoid's short base.

Answer: The Little Trapezoid's shorter base is 1 mi long.

I hope this helps.
8 0
3 years ago
PLEASE HELP THIS QUESTION IS SO ANNOYING!!
nikklg [1K]
ANSWER- 23 , 76


Explanation- just did it :)
6 0
3 years ago
Read 2 more answers
Use the Law of Cosines to find the missing angle. In triangle JKL, j=3in., k=4in., and l=2.89., find mJ
slega [8]
Using the law of cosine for Triangle KJL, we can write:

j^{2} = k^{2} + l^{2}-2(k)(l)cos(J)  \\  \\ 
2(k)(l)cos(J)=k^{2} + l^{2}- j^{2} \\  \\ 
cos(J)= \frac{k^{2} + l^{2}- j^{2}}{2(k)(l)}

Using the values of k,j and l, we can write:

cos(J)= \frac{ 4^{2} + (2.89)^{2} - 3^{2} }{2(4)(2.89)}  \\  \\ 
cos(J)= 0.664 \\  \\ 
J= cos^{-1}(0.664) \\  \\ 
J=48.39

Rounding to nearest integer, the measure of angle J will be 48 degrees.
So option B gives the correct answer
8 0
3 years ago
Read 2 more answers
I need help with question 30 please! :)
Nataliya [291]

Answer:

B ∩ (A ∪ C)'

Step-by-step explanation:

It's the B part excluding A and C union. Hence,

(A ∪ C)' ∩ B

7 0
2 years ago
How many cubes that have a edge length 1/2 inch are need to make a 1 cubic inch?
Nana76 [90]
The answer is D hope this helps
7 0
3 years ago
Read 2 more answers
Other questions:
  • Honney bought 2 lemons for Php20.50. How much will she pay if she will buy 7 lemons?
    9·2 answers
  • A circular garden has a circumference of 113 yards. Lars is digging a straight line along a diameter of the garden at a rate of
    14·1 answer
  • The equation of the graphed line is 2x - y = -6.
    15·1 answer
  • Equipment was purchased at a cost of $52,000. It had an estimated useful life of seven years and a residual value of $3,000. Ass
    11·1 answer
  • Rey has 4 bags of pecans. Each bag is 3/5 pounds. How many pounds of pecans does Rey have?​
    11·1 answer
  • Is 8.25 less than 8.250
    6·1 answer
  • The side length of a cube is 5√ cm.
    14·1 answer
  • If 2y - x = 8 , and 3x - y = 1, what is the value of x ?
    13·2 answers
  • can someone please help me
    11·1 answer
  • What is the answer too x^2 + 2x
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!