How many possible passwords can be made using 5 numbers from 0 to 6 and 1 letter of the alphabet where each number and letter may be used more than once?

Question

How many possible passwords can be made using 5 numbers from 0 to 6 and 1 letter of the alphabet where each number and letter may be used more than once?

Answer 1

between 0 and 6 we have 7 digits. And there are 26 letters. To make a password from numbers between 0 and 6 and also a letter, we have this number of possibilities:

 

7⁵*26*6=16807*26*6=2621892

 

I hope it helps

Answer 2

You have 7(0,1,2,3,4,5,6) possible choices of number so, with repetition, there are 7^5 possible 5 number prefixes to the password. In addition, there are 26 letters of the alphabet. So for each letter there is 7^5 possible passwords created from it. And there are 6 places to place the letter. Therefore the answer is (7^5)*26*6