A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted?

A. 11
B. 30
C. 14
D. 20

Explanation:

For each visualization let us name the females and Females(3) Males(5)

A B C D E F G H

Since A cannot go with B.

She will make team with four males in four ways AD,AF,AG,AH.

Since there is no compulsion with females C and E.

They can make team with 5 males in 5 different ways each.

Therefore, Total number of ways = 4+5+5 =14

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