Question

You need to have a password with 5 letters followed by 4 even digits between 0 and 9, inclusive. if the characters and digits cannot be used more than once, how many choices do you have for your password?

Answer 1

We all know that there are 26 letters available in the alphabet and there are just 5 even numbers between 0 and 9. We are now given the situation of how many passwords can we make out of the criteria of having 5 letters that cannot be repeated and 4 even digits from 0-9. We cannot repeat the numbers and letters, thus our password will look something like this, LLLLLNNNN, where L is a letter and N is a number. Let us note that  we cannot use the characters and digits more than once.This is how we will solve the probable number of passwords.

26 x 25 x 24 x 23 x 22 x 5 x 4 x 3 x 2

When we compute this formula, we will have the total number of possible passwords:

947,232,000.00

There are 947,232,000 possible passwords based on the given criteria.