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Permutation and Combination - Selections with Restrictions

Permutation and Combination - Selections with Restrictions

Find the number of possible committees of \(6\) members that can be formed form \(5\) men and \(6\) women if

  1. there are no restrictions,
  2. there are exactly \(3\) men in the committee,
  3. there are more men than women in the committee,
  4. the committee has at least one man and at least one woman.

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Answer:(i) \(462\) (ii) \(200\) (iii) \(81\) (iv) \(461\)

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