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Question 63

The number of ways in which 21 identical apples can be distributed among three children such that each child gets at least 2 apples, is

21 apples, 3 children, each ≥ 2. 

Give 2 each first: remaining 15 among 3 with each ≥ 0.

$$\binom{15+2}{2}=\binom{17}{2}=136$$.

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