SOLUTION: How many 5 character license plates can I create if the first 2 characters must be letters and the last 3 must be numbers?

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Question 1118956: How many 5 character license plates can I create if the first 2 characters must be letters and the
last 3 must be numbers?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Presuming no excluded letters (sometimes in alpha-numeric numbering systems, the letters O and I are excluded so that there is no confusion with the numbers 0 and 1.), there are 26 letters and no reason to presume that duplication is not allowed, so there are 26 ways to choose the first letter times 26 ways to choose the second letter. Then there are 10 digits. 0 through 9, so there are 10 ways to choose the first digit times 10 ways for the second digit times 10 ways for the last digit. Altogether:




John

My calculator said it, I believe it, that settles it