SOLUTION: How many different license plates can be made using 2 letters followed by 5 digits selected from the digits 0 through 9, if digits may be repeated but letters may not be repeated?

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Question 292795: How many different license plates can be made using 2 letters followed by 5 digits selected from the digits 0 through 9, if digits may be repeated but letters may not be repeated?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

An example is

J S 7 2 0 2 8

26 ways to choose any letter to go where the J is, times
25 ways to choose any DIFFERENT letter to go where the S is 
      than the one chosen to go where the J is, times
10 ways to choose any digit to go where the 7 is, times
10 ways to choose any digit to go where the first 2 is, times
10 ways to choose any digit to go where the 0 is, times
10 ways to choose any digit to go where the second 2 is, times
10 ways to choose any digit to go where the 8 is.  That's

26x25x10x10x10x10x10 = 65000000

Sixty-five million.

Edwin