NIACL Model Paper 1 with solutions for free online practice

Question : 28 of 100

Marks: +1, -0

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women ?

Solution:

The group consists of 7 men and 3 women. We have to select 5 out of 7 men, i.e.,

^7{C}_5

and 2 out of 3 women, i.e.,

^3{C}_2

. Hence, required number of ways

=^7{C}_5×^3{C}_2

={7×6}/{2×1}×{3×2}/{2×1}=63

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