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

Question

Choices are ;

 

260
 
6,760,000
 
3,276,000
 
85

Answer 1

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.