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Problem Solving (PS) | Re: In how many ways can 7 different chocolates be distributed among 3

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nkmungila wrote:

In how many ways can 7 different chocolates be distributed among 3 children if each child can get any number of chocolates?

A. 35
B. 84
C. 120
D. 210
E. 2187


Since each chocolate can be given to any one of the 3 children, there are 3 choices for the first chocolate to be distributed, 3 choices for the second chocolate to be distributed, etc. Thus, the total number of ways these 7 chocolates can be distributed is:

3 x 3 x 3 x 3 x 3 x 3 x 3 = 3^7

Answer: E
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