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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?

Respuesta :

Answer:

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

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