(C) Each of the $mn$ letters can be posted in any of the $n$ letter-boxes.Since each letter has $n$ independent choices,the total number of ways to po

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(C) Each of the $mn$ letters can be posted in any of the $n$ letter-boxes.Since each letter has $n$ independent choices,the total number of ways to post $mn$ letters is $n \times n \times n \times \dots \times n$ ($mn$ times).Therefore,the total number of ways is $n^{mn}$.

Competitive Quantitative Aptitude Permutation and Combination Permutation and Combination

Medium

In how many ways can $mn$ letters be posted in $n$ letter-boxes?

A
$(mn)^n$
B
$m^{mn}$
C
$n^{mn}$
D
None of these

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In how many ways can $mn$ letters be posted in $n$ letter-boxes?

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