ABC26GN5307 · Permutations and Combinations

Subject: General Aptitude · Chapter: Permutations and Combinations · Exam: 2009 · Marks: · Difficulty:

In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women?

(a)266

(b)5040

(c)11760

(d)86400

(e)None of these

Answer

Answer (as printed): C

Explanation

Required number of ways = (8C5 × 10C6) + (8C3 × 10C4) 8 × 7 × 6 10 × 9 × 8 × 7 = × 3 4 8 × 7 × 6 10 × 9 × 8 × 7 = × = 11760. 6 4×3×2×1 848

Explanation as extracted from the printed page; notation may be imperfect.