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

Bram

5 July, 06:30

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?

River Chan · 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?