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?
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
