Question

A 7 character computer password is made up of 4 letters followed by 3 numbers. How many different passwords are possible? a. 333,135,504 b. 358,800,000 c. 456,976,000 d. 78,364,164,096 Please select the best answer from the choices provided A B C D

Answer 1

c. 456,976,000

Explanation:

Number of Letters = 4

Number of Letters on the Alphabet = 26

Total Numbers used = 3

Total Range of Numbers = (0-9)

Since the first 4 characters are letters, the total number of combinations for each of them would equal to 26.

And for the following 3 numbers, the total number of combinations for each of them would equal to 10.

To find the answer, we multiply all the values:

26*26*26*26*10*10*10 = 456,976,000