An 8-person committee is to be formed from a group of 15 women and 12 men.

In how many ways can the committee be formed if the committee must contain four men and four women?

Question

Mathematics

Kali Martin

11 August, 14:06

An 8-person committee is to be formed from a group of 15 women and 12 men.

In how many ways can the committee be formed if the committee must contain four men and four women?

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Answers (1)

Know the Answer?

Walsh · Answer 1

1860 WAYS

Step-by-step explanation:

Combination is the technique used to compute the selection of items based on given criteria.

ⁿₐC = n! / (n - a) ! a!

The number of ways an 8-person committee of 4 men and 4 women is to be formed from a group of 15 women and 12 men

= 15 ₄C + 12₄C

= 15! / (15 - 4) !4! + 12! / (12 - 4) !4!

= 1365 + 495

= 1860 WAYS

An 8-person committee is to be formed from a group of 15 women and 12 men.In how many ways can the committee be formed if the committee must contain four men and four women?

An 8-person committee is to be formed from a group of 15 women and 12 men.

In how many ways can the committee be formed if the committee must contain four men and four women?