Please help! FAST.

Mathematics

1 answer:

dusya [7]2 years ago

7 0

Answer: I think it is 86

Step-by-step explanation:

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Suppose that in a certain state, all automobile license plates have four letters of the 26 English alphabet letters followed by

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Answer:

$993,\!600$ .

Step-by-step explanation:

There is one way to choose the first character (has to be an $\verb!A!$ .)

There is one way to choose the last character (has to be a $\verb!1!$ .)

Since repetition among the letters is not allowed and the letter $\verb!A!$ was already reserved for the first character, there would be $(26 - 1) = 25$ English alphabet letters available for the second character.

Likewise, with the first and second characters chosen, the third character could be chosen from $(26 - 2) = 24$ letters. There would be $(26 - 3) = 23$ choices for the fourth letter.

Repetition of the digits is not allowed, either. With the digit $\verb!1!$ already reserved for the last character, there would be $(10 - 1) = 9$ ways to choose the fifth character (a digit.) There would then be $(10 - 2) = 8$ ways to choose the sixth character (also a digit.)