A committee consists of 6 boys and 4 girls. In how many w...
A committee consists of 6 boys and 4 girls. In how many ways can a sub-committee consisting of 3 boys and 2 girls be formed if one particular boy and one particular girl must be on the sub-committee?
120
80
56
30
Correct answer is D
The required committee can be formed in
(a boy and a girl are already part of the committee so we need two more boys and a girl).
5C2 * 3C1 = 5∗4∗3∗2∗13∗2∗2∗1 * 3∗2∗12∗1
10 * 3 = 30ways.
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