# Questionbank: Permutation and Probability

3
Another wonderful question. A classic question that is from a standard template once a layer is removed.

## Counting - Toys and Boxes

Q.3: In how many ways 11 identical toys be placed in 3 distinct boxes such that no box is empty?
1. 72
2. 54
3. 45
4. 36

Choice C. 45

## Detailed Solution

This is nothing but the number of ways of having a, b, c such that a + b + c = 11, where a, b, c are natural numbers. By having them to be natural numbers, we ensure that no box can be empty (no zeroes)

The question is similar to the previous one.

Correct Answer : 10C2 = 45

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## More questions from Number System

There are many ways to skin a CAT. To skin CAT, one needs to be good at finding how many ways there are.