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Permutations and Combinations · Discussion forum

Hard Level Question 7 – answer, explanation & discussion

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Question 7 Back to Exercise

In how many ways can 10 identical balls be placed in 4 different boxes so that each box gets at least 2?

  • A 84
  • B 35
  • C 20
  • D 10 Correct
Correct Answer: Option D

Put 2 in each first; 2 balls remain

Share 2 among 4 boxes freely: (2 + 3)C3 = 10

Trap: 84 = 9C3 needs only one ball in each.

Answer: 10

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