BA LLB Banaras Hindu University 2016 Solved Paper

Question : 125 of 170

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:

Required way,

{ }^{7} C_{5} ×{ }^{3} C_{2}

=\;{7 !}/{5 ! ×(7-5) !} × \;{3 !}/{2 !(3-2) !}

=\;{7 × 6}/{2 !} × \;{3 × 2}/{2 !}=\;{7 × 6 × 3}/{2}=63

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