Question

A license plate consists of 3 letters followed by 3 digits. How many license plates are possible if the first digit cannot be 0, and letters and digits may repeat?

Answer 1

According to the given question, a license plate consists of 3 letters followed by 3 digits. Therefore the  license plates are possible if the first digit cannot be 0, and letters and digits may repeat as follows:

First Combination Second Combination

L L L D D D

Total letters { A,B,C,......,Z=26 letters) Total digit { 0,1,2,3,4,5,6,7,8,9=10 digits)

Therefore first combination of 3 letter comes from 26 letters in

ways.

and second combination of 3 digits come from 10 digits as where the first digit cannot be 0

ways.

Therefore,  the license plates are possible if the first digit cannot be 0, and letters and digits may repeat as