The number of ways in which one can post 4 letters in 5 letter boxes,

1.	The number of ways in which one can post 4 letters in 5 letter boxes, isA. `4^(5)`B. `5^(4)`C. 20D. 9
Answer» Let `L_(1),L_(2),L_(3)andL_(4)` be four letters and `B_(1),B_(2),B_(3),B_(4)andB_(5)` be five letter boxes. The job of posting 4 letters in five letter boxes can be divided into following four sub-jobs : `J_(1)` : Posting letter `L_(1)` in a letter box. `J_(2)` : Posting letter `L_(2)` in a letter box. `J_(3)` : Posting letter `L_(3)` in a letter box. `J_(4)`: Posting letter `L_(4)` in a letter box. Since letter `L_(1)` can be posted in any one of the five letter boxes. Therefore, job `J_(1)` can be done in five ways. Similarly, each job can be done in 5 ways. So, required number of ways. `=5xx5xx5xx5=5^(4)`.

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The number of ways in which one can post 4 letters in 5 letter boxes, isA. `4^(5)`B. `5^(4)`C. 20D. 9

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