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? · ABC26GN5311

Subject: General Aptitude · Chapter: Permutations and Combinations

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?

(a)45

(b)63

(c)90

(d)126

(e)None of these

Answer

Answer (as printed): B

Explanation

Required no. of ways 7 3 7 3 7×6 = ( $\mathrm{C_{5}}$ × $\mathrm{C_{2}}$ ) = ( $\mathrm{C_{2}}$ × $\mathrm{C_{1}}$ ) = × 3 = 63. 2×1

Study loop for Permutations and Combinations