Permutation and CombinationMedium
Question
The number of ways of choosing a commitee of 2 women & 3 men from 5 women & 6 men, if Mr. A refuses to serve on the committee if Mr. B is a member & Mr. B can only serve, if Miss C is the member of the committee, is -
Options
A.60
B.84
C.124
D.none of these
Solution
Case 1 : Mr. B & Miss C are in committee and Mr. A is excluded
⇒ 4C2 × 4C1 = 24 ways
(Men) (Women)
Case 2 : Mr. B not there : 5C3 × 5C2 = 100 ways
(Men) (Women)
Total ways = 24 + 100 = 124
⇒ 4C2 × 4C1 = 24 ways
(Men) (Women)
Case 2 : Mr. B not there : 5C3 × 5C2 = 100 ways
(Men) (Women)
Total ways = 24 + 100 = 124
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