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:

Given: We have 4 letters and 5 letter boxes

To Find: Number of ways of posting letters.

One letter can be posted in any of 5 letter boxes.

We have to assume that all the letters are different.

So for first letter i.e. $L_{1}$, we have 5 ways

Similarly for,

$L_{2}=5$ ways

$L_{3}=5$ ways

$L_{4}=5$ ways

Total number of ways $=5 \times 5 \times 5 \times 5=625$

In 625 ways 4 letters can be posted in 5 letter boxes.

 

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