csat-suneung 2020 Q29

csat-suneung · South-Korea · csat__math-humanities 4 marks Combinations & Selection Counting Integer Solutions to Equations
Three students A, B, and C are given 6 identical candies and 5 identical chocolates to be distributed completely according to the following rules. Find the number of ways to do this. [4 points] (가) The number of candies that student A receives is at least 1. (나) The number of chocolates that student B receives is at least 1. (다) The sum of the number of candies and chocolates that student C receives is at least 1.
Three students A, B, and C are given 6 identical candies and 5 identical chocolates to be distributed completely according to the following rules. Find the number of ways to do this. [4 points]\\
(가) The number of candies that student A receives is at least 1.\\
(나) The number of chocolates that student B receives is at least 1.\\
(다) The sum of the number of candies and chocolates that student C receives is at least 1.