Quantitative Aptitude :: Permutation and Combination - Discussion

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Explanation:
Number of ways of achieving the second option 3 - 1 - 1

Three toys out of the 5 can be selected in 5C3ways. As the boxes are identical, the remaining two toys can go into the two identical looking boxes in only one way.

Therefore, total number of ways of getting the 3 - 1 - 1 option is 5C3 = 10 = 10 ways.

Total ways in which the 5 toys can be packed in 3 identical boxes

= number of ways of achieving Case a + number of ways of achieving Case b
= 15 + 10 = 25 ways.