CAT 2022 Slot 1 Paper

Question : 54 of 66

Marks: +1, -0

The number of ways of distributing 20 identical balloons among 4 children such that each child gets some balloons but no childgets an odd number of balloons, is

Your Answer:

Validate

Solution:

Let the number of balloons each child received be

2 a, 2 b, 2 c

and

2 d

\2 a + 2 b + 2 c + 2 d =20

a + b +c + d=10

Each of them should get more than zero balloons.
Therefore, total number of ways

=(n-1)_{C_{r-1}}=(10-1)_{C_{4-1}}=9_{C_3}=84

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