A two member committee comprising of one male and one female member is to be constituted out of

Monjur Alahi

A two member committee comprising of one male and one female member is to be constituted out of five males and three females. Amongst the females, Mrs. A refused to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted? 

(a) 11 (b) 12 (c) 13 (d) 14


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Salim Ahmed Kawsar

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(d) For each combination, let us name the females and males

Female (3) Male (5)
A B
C D
E F
G
H

Since A can’t go with B, it will make team with four males in four ways AD, AF, AG, AH. Since there is no restriction with female C and E, they may combine with 5 males in 5 different ways each.

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

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