A committee of 6 people is to be chosen from a group consisting of 7 men...

Question

Question

A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. The committee must consist of at least

Answer 1

Answer #1

7 M

8 W

committee of 6

(a)

(i) case 3W ,3M , ⁸c_3
*⁷c₃ = 56*35 = 1960

(ii) case. 4W, 2M , ⁸c₄ _*⁷c₂ = 70*21 = 1470

different possible committees are =1960 +1470

= 3430 Answer

(b)

The probability that the committee consists 2 men and 4 women

= ⁸c₄ _*⁷c_2
/ ¹⁵c ₆

_{= 1470 / 5005}

_{= 0.293706294 Answer}

Answer 2

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