SOLUTION: suppose a license plate contains three letters followed by three digits and the first digit cannot be zero. How many different license plate can be printed? -thank you very much

Question 1056516: suppose a license plate contains three letters followed by three digits and the first digit cannot be zero. How many different license plate can be printed?
-thank you very much
Answer by Edwin McCravy(20059) (Show Source): You can put this solution on YOUR website!
Suppose a license plate contains three letters followed by
three digits and the first digit cannot be zero. How many
different license plate can be printed?


[Notice that some of the 3 letters can be the same,
and some of the digits can be the same.]


Choose the letter to come first 26 ways. 
Choose the letter to come second 26 ways.  <-- 26, not 25 (can be the same) 
Choose the letter to come third 26 ways.
Choose the digit to come fourth 9 ways.  <-- Can't be zero!
Choose the digit to come fifth 10 ways.  <-- Can be zero!
Choose the digit to come sixth 10 ways.  <-- Can be zero!

26*26*26*9*10*10 = 15,818,400.

Edwin

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