ABC26GN5311 · Permutations and Combinations

Subject: General Aptitude · Chapter: Permutations and Combinations · Exam: · Marks: · Difficulty:

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

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