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Question 290012
JEE Mathematics · Hard

Permutations and Combinations: JEE Advanced MCQ

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JEE AdvancedHardQuestion 290012

Question

The number of ways to distribute 10 identical balls into 3 distinct boxes with no box empty is:
  1. A
    ⁹C₂ = 36
    Correct
  2. B
    ¹⁰C₂ = 45
  3. C
    ¹²C₂ = 66
  4. D
    10³ = 1000

Correct answer

⁹C₂ = 36

Explanation

Stars and bars for no empty box: (n−1)C(r−1) = (10−1)C(3−1) = ⁹C₂ = 36.

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