Permutation & Combination · Question 29 · Hard

In how many ways can 8 identical chocolates be distributed among 3 children so that each child gets at least one chocolate?

  1. 45
  2. 56
  3. 28
  4. 21
Answer and explanation

Answer: D. 21

Explanation: Give one chocolate to each child first; the remaining 5 identical chocolates can be shared among 3 children in (5 + 2)C2 = 21 ways (equivalently 7C2).

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