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Question

From a group of 6 men and 7 women, five persons are to be selected from a committee so that at least 3 women are there on the committee. In how any ways can it be done?

A
576
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B
756
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C
657
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D
765
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Solution

The correct option is B 756
Since atleast 3 women must, be chosen we consider all committees which include 3,4,5 women with 2,1,0 men respectively.
a) Choose 3 from 7 women and 2 from 6 men =7C36C2=35×15=525
b) Choose 4 from 7 women and 1 from 6 men =7C4×6C1=356=210.
c) Choose 5 from 7 women and 0 from 6 men =7C5×6C0=21×1=21
a+b+c=525+210+21=756.

1201566_1281089_ans_6780964d27fc4067bd476e449482bb7e.jpg

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