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

Question:

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

 

Solution:

Each letter has 4 possible letter boxes option.

So the number of ways in which 5 letters can be posted in 4 letter boxes $=4 \times 4 \times 4 \times 4$ $\times 4=4^{5}$ (Each 4 for each letter.)

 

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