In how many ways can 4 letters be posted in 5 letter boxes?

Question:

In how many ways can 4 letters be posted in 5 letter boxes?

Solution:

Each of the letter can be posted in anyone of the letter boxes.

This means that every letter can be posted in 5 ways.

$\therefore$ Total number of ways of posting 4 letters $=5 \times 5 \times 5 \times 5=5^{4}$

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