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JEE Main 2013 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2013

A committee of 4 persons is to be formed from 2 ladies, 2 old men and 4 young men such that it includes at least 1 lady, at least 1 old man and at most 2 young men. Then the total number of ways in which this committee can be formed is :

Answer: (2)

Solution

(Ladies, old men, young men): (1, 1, 2): 2·2·6 = 24; (2, 1, 1): 1·2·4 = 8; (1, 2, 1): 2·1·4 = 8; (2, 2, 0): 1. Total 41, option (2).

Question ID VK-103957