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From 7 men and 4 women a committee of 6 is to be formed such that the committee contains at least two women. What is the number of ways to do this ?A. 210B. 371C. 462D. 5544

Answer» Correct Answer - B
The required number of ways
`= .^(11)C_(6) - (.^(7)C_(6) xx .^(4)C_(0) +.^(7)C_(5) xx .^(4)C_(1))`
`= (11 xx 10 xx 9 xx 8 xx 7)/(5 xx 4 xx 3 xx 2) - (7 + (7 xx 6)/(2) xx 4)`
`= 462 - (7 + 84) = 371`


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