Question 472428: In State X, all vehicle license plates have 2 letters from the
26 letters of the alphabet followed by 3 one-digit numbers.
How many different license plates can State X have if
repetition of letters and numbers is allowed?
A 23,400
B 60,840
C 67,600
D 608,400
E 676,000
Can yoou show me how to solve this?
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
There are 26 ways to select the first letter. For each of those ways, since repetition is allowed, there are 26 ways to select the second letter, for a total of 26 times 26 ways to select the letters. For each of those 26 times 26 ways to pick the letters there are 10 ways to select the first digit (0 through 9 is 10 possibilities). Then 10 ways to select the second digit and 10 ways to select the last digit.
Do your own arithmetic.
John
My calculator said it, I believe it, that settles it
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