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In a certain state, each automobile license plate consists of two letters followed by four numbers. There can be no repeats for letters and numbers in the licen

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1 Answer

Since order actually matters in this (i.e. AB is different than BA), we will use permutations.
 
For the letters we have 26P2 = 26 x 25 options
 
For the numbers we have 10P4 = 10 x 9 x 8 x 7
 
For a total of:  26 x 25 x 10 x 9 x 8 x 7 = 3,276,000
 
 
J.T.