An old web-site requires a four character password. consisting of three numbers and 1 letter. a new web-site requires a 6 character password. consisting of 3 numbers and 3 letters. how many more passwords can be made for the new website
For each number, there are ten choices. For each letter, there are \(26\) choices.
To get the number of passwords for the old website, multiply the number of choices possible for each character:
\(10 \cdot 10 \cdot 10 \cdot 26 = 26000\)
To get the number of passwords for the new website, you can do the same with the choices for each character of the new passwords.
I am not going to give you the answer, because if I did that, you would not learn how to do the problem. You have to figure out how to do the problem from the steps I gave you.
I hope this is helpful,