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Miyu is giving out 9 identical chocolates to her 7 friends, including Dhruv.  All possible distributions are equally likely.  What is the probability that Dhruv gets exactly 2 chocolates?

 Dec 21, 2022
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Here is my attempt:

 

[9 + 7 - 1] C [7 - 1] ==15 C 6 ==5,005 ways of distributing the chocolates.

 

Of the above 5,005 permutations, there are 792 that begin with 2 or end in 2.

 

Therefore, the probability is: 792 / 5,005 ==72 / 455

 Dec 21, 2022

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