Question

When Adam got a new locker at the gym, he had to choose a password. For this locker, a password consists of

Answer 1

Given:

Adam's locker has a password that consists of 4 non-repeated letters from A - Z.

To find:

The number of different passwords.

Solution:

Total number of letters from A - Z is 26.

So, the number of selecting a letter for first place is 26.

The passwords consists non-repeated letters. So, the remaining numbers is $26-1=25$.

The number of selecting a letter for second place is 25.

Similarly,

The number of selecting a letter for third place is 24.

The number of selecting a letter for fourth place is 23.

The total number of possible different passwords is:

$26\times 25\times 24\times 23=358800$

Therefore, the total number of different passwords is 358800.