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?
stars and bars
15C7 = 6435 possible outcomes
Give Dhruv her 2 chos,
now you have 6 friends and 7 chocolates
12C6 = 924 favourable outcomes
924/6435 = 28 / 195 =approx 14% chance