Question
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: Option 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
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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
Was this answer helpful ?
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