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Multiple choice

Find the number of ways in which 9 students can be equally divided into three groups?

  1. 280

  2. 360

  3. 200

  4. 540

  5. None of these

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A Correct answer
Explanation

Select 3 out of 9, then 3 out of remaining 6: C(9,3) × C(6,3) = 84 × 20 = 1680. Since groups are identical, divide by 3! = 6, giving 1680/6 = 280.

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