A state's license plates consist of four letters followed by three numerals, and 242 letter arrangements are not allowed. How many plates can the state issue?

Question

asked Feb 27, 2021 227k views

1 Answer

Tandrewnichols · Answer 1 · 2021-03-05T02:02:23+0000

Answer: There are 456975758 plates that the state can issue.

Explanation:

Since we have given that

Number of letters = 4

Number of numerals = 3

And 242 letter arrangements are not allowed.

As we have 26 letters i.e A-Z

and numerals i.e, 0-9

So, the number of plates would be

(26^4)* 10^3=456976000

So, the restricted letters deducting would be

456976000-242=456975758

Hence, there are 456975758 plates that the state can issue.