Discussion

Question:

In how many ways can 12 distinct shirts be distributed among 3 people such that each person may / may not get a shirt?

Explanation:

Both shirts and people are distinct here.

First shirt can be given to any of the 3 persons i.e., in 3 ways.

Similarly, all other shirts can also be given to any of the 3 persons i.e., in 3 ways each.

Hence, total number of ways of distributing 12 distinct shirts among 3 people = 3¹².

Note: No. of ways of distributing distinct items to n distinct people = n^m.

Hence, option (d).

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