In how many ways a team consisting of 5 boys and 3 girls, can be chosen from 9 boys and 12 girls.

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07 Aug 2020 Permutation and Combination

In how many ways a team consisting of 5 boys and 3 girls, can be chosen from 9 boys and 12 girls.

OPtion

1) 27710
2) 27720
3) 27740
4) 27780
5) 27716
6) 27732
7) 27764
8) 27128
9) 27700
10) None of these

Solution

Choose 5 boys out of 9 boys = 9C5 ways = 126 ways

Choose 3 girls out of 12 girls = 12C3 ways = 220 ways

The committee can be chosen in = 126 * 220 = 27720 ways

Correct Option: 2 Best Solution (1)