Question

Standard automobile license plates in a country display 2 numbers, followed by 3 letters, followed by 2 numbers. How many different standard plates are possible in this system? (Assume repetition of letters and numbers is allowed.)

Answer 1

Answer: 175760000

Explanation:

We know that the total number of digits in the number system is 10 [0,1,2,3,4,5,6,7,8,9]

The total number of letters in English Alphabet = 26

Now, if standard automobile license plates in a country display 2 numbers, followed by 3 letters, followed by 2 numbers, then the number of different standard plates are possible in this system (if repetition of letters and numbers is allowed)will be :_

`= 10*10*26*26*26*10*10\\\\=175760000`

Hence, the number of different standard plates are possible in this system =
`175760000`