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UGC-NET | UGC NET CS 2015 Dec – II | Question 1
  • Last Updated : 27 Apr, 2018

How many committees of five people can be chosen from 20 men and 12 women such that each committee contains atleast three women?
(A) 75240

(B) 52492

(C) 41800

(D) 9900


Answer: (B)

Explanation: We3 can select 5 people from 20 men and 12 women having atleast 3 women:
12C3 * 20C2 + 12C4 * 20C1 + 12C5 * 20C0
= 220 * 190 + 495 * 20 + 792
= 52492
So, option (B) is correct.

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