# Moderate Permutation-Combination Solved QuestionAptitude Discussion

 Q. How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?
 ✔ A. $5^{10}$ ✖ B. ${10}^5$ ✖ C. ${^{10}P_5}$ ✖ D. ${^{10}C_5}$

Solution:
Option(A) is correct

Each of the 10 letters can be posted in any of the 5 boxes.

So, the first letter has 5 options, so does the second letter and so on and so forth for all of the 10 letters.

i.e.$5×5×5×….×5$ (up-to 10 times)

$= 5^{10}$

## (1) Comment(s)

Snehal
()

why is it not $10^5$ !!!!!!.......Can someone explain?