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JEE Main 2018 · Mathematics · Permutations and Combinations · easy

A committee of 3 men and 2 women is to be formed from 6 men and 5 women. The number of ways is

Single correct option

A committee of 33 men and 22 women is to be formed from 66 men and 55 women. The number of ways is
  1. A. 200200
  2. B. 150150
  3. C. 330330
  4. D. 120120
Show answer and solution

Answer: (A) 200200

Choose the 33 men from 66 in (63)=20\binom63=20 ways and, independently, the 22 women from 55 in (52)=10\binom52=10 ways. By the multiplication principle the committee can be formed in 20×10=20020\times10=200 ways.
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Original question written in the JEE Main 2018 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake