Question

find the number of possible license plates with 5 letters followed by two numbers?

Answer 1

Assuming repeats are allowed

you have....

26 choices for slot 1 (26 alphabetical letters)
26 choices for slot 2
26 choices for slot 3
26 choices for slot 4
26 choices for slot 5
10 choices for slot 6 (digits 0 through 9...there are 10 single digits)
10 choices for slot 7


Multiply all the choices out to get

26*26*26*26*26*10*10 = 1,188,137,600

So there are 1,188,137,600 different license plates (assuming repeats are allowed)

Answer 2

thank you

Answer 3

you don't add, you multiply

Answer 4

Yes, you're correct @jim_thompson5910.

Revised:
There are 26 available letters. There are 10 available digits.
The plate uses 5 letters and 2 digits.

That makes the possible combinations 26^5 * 10^2