From a group of 8 men and 6 women, five persons are to be selected to form a committee so that at least 3 women are there on the committee. In how many ways can it be done?(a) 686(b) 438(c) 732(d) 549This question was posed to me during a job interview.This interesting question is from Counting in section Counting of Discrete Mathematics

From a group of 8 men and 6 women, five persons are to be selected to

1.	From a group of 8 men and 6 women, five persons are to be selected to form a committee so that at least 3 women are there on the committee. In how many ways can it be done?(a) 686(b) 438(c) 732(d) 549This question was posed to me during a job interview.This interesting question is from Counting in section Counting of Discrete Mathematics
Answer» The CORRECT answer is (a) 686 Explanation: We MAY have (2 men and 3 WOMEN) or (1 men and 4 woman) or (5 women only). The Required number of ways = (^8C2 × ^6C3) + (^8C1 × ^6C4) + (^6C5) = 686.

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