A committee of 4 people is chosen from 8 women

syaoronsangelhwc17

syaoronsangelhwc17

Answered question

2022-05-13

A committee of 4 people is chosen from 8 women and 8 men. How many different committees are possible that consist of 2 women and 2 men?

Answer & Explanation

Adeline Shah

Adeline Shah

Beginner2022-05-14Added 18 answers

Explanation:
There are the binomial coefficient "8 choose 2", i.e. 8 ! 2 ! 6 ! = 28 ways to choose 2 people from a set of 8 people. So, there are 28 ways to choose 2 men and 28 ways to choose 2 women. This means that there is 28 2 = 784 ways to choose both 2 men and 2 women.

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