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BITSAT2014MathematicsPermutation and CombinationActual

In how many ways can a committee of 5 made out 6 men and 4 women containing atleast one woman?

Options

  1. A246
  2. B222
  3. C186
  4. DNone of these

Correct answer

A. 246

Step-by-step solution

A committee of 5 out of 6+4=10 can be made in ¹⁰ C ₅=252 ways. If no woman is to be included, thennumber of ways = ⁵ C ₅=6 the required number =252-6=246

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