From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. What is the probability of having only 1 woman in committee ? Choose the correct choice from the following options.
A) 11/18
B) 5/18
C) 6/19
D) 17/18
E) 16/18
We may have (3 men and 2 women) = (7C3 x 6C2) = 525   or (4 men and 1 woman) = (7C4 x 6C1) = 210   or (5 men only) = (7C5) = 21   Required ways = 756   Probability of having only 1 woman in committee = 210 / 756 = 5/18   ans - 5/18
<result>B</result>
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. What is the probability of having only 1 woman in committee ?