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?
Answer: C
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