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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?

Respuesta :

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

Step-by-step 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

[tex](26^4)\times 10^3=456976000[/tex]

So, the restricted letters deducting would be

[tex]456976000-242=456975758[/tex]

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

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