Question

in designing a new keyboard, sample keyboards are prepared by rearranging the alphabet keys what is the possible number of keyboards formed?​

Answer 1

Given:

In designing a new keyboard, sample keyboards are prepared by rearranging the alphabet keys.

To find:

Possible number of keyboards formed.

Solution:

As we know that there are 26 alphabets.

Therefore there would be 36 spaces for the alphabets in the keyboard.

First space can has 26 possibilities, 2nd has 25 possibilities, 3rd has 24 and so on.

Therefore the total number of possibilities will be 26!.

Therefore the possible number of keyboards that can be formed are 26!