Permutations And Combinations Question 153

Question: The number of ways in which a committee of 6 members can be formed from 8 gentlemen and 4 ladies so that the committee contains at least 3 ladies is [Kerala (Engg.) 2002]

Options:

A) 252

B) 672

C) 444

D) 420

Show Answer

Answer:

Correct Answer: A

Solution:

  • There can be two types of committees (i) Containing 3 men and 3 ladies (ii) Containing 2 men and 4 ladies \ Required number of ways = $ {{8}}C_3\times {{4}}C_3+{{8}}C_2\times {{4}}C_4=252 $ .

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