SOLUTION: License plates in Portage County will be of the form & # # # & &, where & is a letter and # is a digit from 0 to 9 inclusive. The first letter must be either W, X, Y, or Z, and the
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Question 1076713: License plates in Portage County will be of the form & # # # & &, where & is a letter and # is a digit from 0 to 9 inclusive. The first letter must be either W, X, Y, or Z, and the last letter must be A or B. If repetition of digits and letters is possible, how many different license plates are possible in Portage
County?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Let's write
&###&&
Like this:
CnnnDE
C is one of { "W", "X", "Y", "Z" } (—> 4 choices)
D is one of { ??? } —> the problem statement is a bit unclear on what D can be: can D be any letter A..Z or is D subject to some restriction like C and E? I will assume D can be A..Z, so 26 choices.
E is one of { "A", "B" } (—> 2 choices)
n is 0..9 inclusive —> 10 choices
Since repetition is allowed, just multiply the number of choices for each position and you'll have your answer. Assuming the 2nd letter (D) can be any alphabet character (26 choices) you get:
—
ans =
—
If D has restrictions, adjust your calculation accordingly.
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