Question

a state's license plate consist of 3 letters followed by 4 numerals, and 246 letter arrangements are not allowed. how many plates can be issued
(26^3-246)*10^4 = 173,300,000
26 letters
26 choices for first letter
26 choices for second letter assuming that repeats are allowed
and 26 choices for third letter
so
26^3 -246 for the letters
for the numbers
zero through 9 allowed, total of 10
again is repeats are allowed
10^4 or ten thousand
so in the end
(26^3 - 246)* 10,000

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