CA Foundation · Quantitative Aptitude · Permutations and Combinations
A shopkeeper in Jaipur distributes 10 identical laddus among 3 children so that each child gets at least one laddu. In how many ways can this be done?
There are 36 ways. After giving each child one laddu, 7 identical laddus remain to be shared among 3 children with no restriction. This count is C(9,2) = 36. The value 66 comes from allowing a child to get none, which the question forbids.
- A66
- B45
- C120
- D36Correct
Explanation
Give one laddu to each child first, leaving 7 to be distributed freely among 3 children. Number of ways = C(7+3-1, 3-1) = C(9,2) = 36. The value 66 is C(12,2), which would apply if the children could receive zero laddus.
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