Question

how many different committees consisting of 4menbers can be formed out of 8 member?
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Answer 1

Answer:

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Since committees must consist of at least 4 people, therefore we must consider committees of 4 , or 5 ,or 6 , or 7 , or 8 people . Now,

Committees of 4 people = C(8, 4) = 8!/4!.4! = 70 .

Committees of 5 people = C(8, 5) = 8!/5!.3! = 56

Committees of 6 people = C(8, 6) = 8!/6!.2! = 28 ;

Committees of 7 people. = C(8, 7) = 8!/7!.1! = 08 and

Committees of 8 people. = C(8, 8) = 8!/8!.0! = 01 . Therefore total no. committees = 70+56+28+08+1 = 163.

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