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Question 290006
JEE Mathematics · Medium

Permutations and Combinations: With restrictions MCQ

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With restrictionsMediumQuestion 290006

Question

From 5 men and 3 women, the number of committees of 4 with at least 1 woman is:
  1. A
    65
    Correct
  2. B
    70
  3. C
    55
  4. D
    5

Correct answer

65

Explanation

Total committees of 4 from 8 = ⁸C₄ = 70. Committees with no women = ⁵C₄ = 5. At least 1 woman = 70 − 5 = 65.

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