CAT 2021 Permutations and Combinations Question (Medium)

Question

The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is

Accepted Answer

Step 1 Distribute Balloons Total balloons 15, each child must get 4 allocate 4 to each first 15 - 3 4 3 balloons left Now distribute 3 identical balloons among 3 children no restriction Number of ways Number of non-negative integer solutions to combinations C 3 3 - 1, 2 C 5, 2 10 Step 2 Distribute P

CAT 2021

Quantitative

Permutations and Combinations

Medium

The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is

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