Search 80,000+ tutors
Ask a question
0 0

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

Tutors, please sign in to answer this question.

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