How many methods are possible for distributing 6 mangos among 4 children if 1 mango would be provide

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17 Feb 2011 Tasty Fruit

How many methods are possible for distributing 6 mangos among 4 children if 1 mango would be provided to every child necessarily

OPtion

1) 10
2) 14
3) 15
4) 18
5) 24
6) 32
7) 38
8) 45
9) 60
10) 72

Solution

since 1 mango would be provided to every child necessarily, so we have to distribute remaining 2 mangos to the 4 children. Methods are
1) give both the mango to any 1 child for which there are 4 methods
2) give 1-1 to any 2 children for which there are 6 methods

Correct Option: 1 Best Solution (3)