CMAT 2020 Solved Question Paper

Question : 16 of 100

Marks: +1, -0

In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women ?

Solution:

The number of ways = 5 men and 6 women from 8 men and 10 women

={ }^{8} {C}_{5}×{ }^{10} {C}_{6}

[{ }^{n} {C}_{r}= { n!}/{ r ({n}-r)!} ]

=8!/{5(8-5)!}×10!/{6(10-6) !}

=8!/{5!.3!}×10!/{ 6!.4!}

={8.7.6 .5!}/{5!.6}×{ 10.9.8.7}/{4.3.2}

=56×10 × 3 × 7=11760

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