Respuesta :

Answer:

There are, you see, 3 x 2 x 1 = 6 possible ways of arranging the three digits. Therefore in that set of 720 possibilities, each unique combination of three digits is represented 6 times. So we just divide by 6. 720 / 6 = 120.

Step-by-step explanation:

There are 2704000 different passwords

The password must have 2 letters and 3 digits.

In representation of characters, we have:

Letters = 52 i.e. 26 upper case and 26 lower case

Digits = 10 i.e. 0 to 9

The first letter can be any of the 52 characters

The second letter can be any of the 52 characters

Each of the three digits can be any of the 10 digits.

So, the number (n) of different passwords is:

n = 52 * 52 * 10 * 10 * 10

This gives

n = 2704000

Hence, there are 2704000 different passwords

Read more about permutation and combinations at:

https://brainly.com/question/26852614