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Question
Find n(S) of the following random experiment.
5 letters are to be placed into 5 envelopes such that no envelope is empty.
Solution
The first letter can be placed into any of the 5 envelopes in 5 different ways
Since no envelope should be empty, the second letter can be placed into any of the 4 remaining envelopes in 4 different ways.
Similarly, the remaining 3 letters can be placed in envelopes in 3, 2, 1 ways respectively
∴ n(S) = 5 × 4 × 3 × 2 × 1
= 120
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