Question

A student ID number is a letter of the alphabet followed by 2 digits. How many different IDs are possible if the digits can be repeated?

A.
2,600

B.
46

C.
2,340

D.
6,760


Please select the best answer from the choices provided

A
B
C
D

Answer 1

I believe that the answer is A.

There are 26 letters in the alphabet, and 10 numbers to choose from: (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

To find the answer, I used 26 • 10 • 10, which ends up being 2,600.

The reason I did this is because you can choose any 1 of the 26 letter, followed by any 1 of the 10 numbers, followed by any 1 of the 10 numbers again.