Question

In a certain state, each automible license plate number consist of two letters followed by a four digit.How many disnict license numbers can be formed if (a) there are no restrictions and (b) if the letters O and I are not used.

Answer 1

Answer: (a) 6760000

(b) 5760000

Explanation:

Total letters in English alphabet = 26

Total digits = 10

Given: Each automobile license plate number consists of two letters followed by a four-digit.

(a) If there are no restrictions, then the total number of license plates formed = 26 x 26 x 10 x 10 x 10 x 10

= 6760000

(b) if the letters O and I are not used, total letters can be used ]= 26-2=24

Then the total number of license plates formed = 24 x 24 x 10 x 10 x 10 x 10

=5760000