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? Options: A . &nbsp63 B . &nbsp90 C . &nbsp126 D . &nbsp45 E . &nbsp135

Answer: Option A Required number of ways = ( 7 C 5 x 3 C 2 ) = ( 7 C 2 x 3 C 1 ) = \(\left(\frac{7\times6}{2\times1}\times3\right)= 63.\)

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

Question

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?

Answer: Option A

Required number of ways = (⁷C₅ x ³C₂) = (⁷C₂ x ³C₁) = \(\left(\frac{7\times6}{2\times1}\times3\right)= 63.\)

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