SOLUTION: A license plate number consists of 1,2 or 3 capital letters followed by 4 digits (ranging from 0 to 9). Some possible care license plate numbers are B1930, C2970, YO4001, DUH2093.

Algebra ->  Permutations -> SOLUTION: A license plate number consists of 1,2 or 3 capital letters followed by 4 digits (ranging from 0 to 9). Some possible care license plate numbers are B1930, C2970, YO4001, DUH2093.       Log On


   

Question 92835: A license plate number consists of 1,2 or 3 capital letters followed by 4 digits (ranging from 0 to 9). Some possible care license plate numbers are B1930, C2970, YO4001, DUH2093. HOW MANY PSSIBLE LICENSE PLATE NUMBERS ARE THERE
a: if repetition of letters and digits is allowed
b: if repetetion of letters and digits is not allowed
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A license plate number consists of 1,2 or 3 capital letters followed by 4 digits (ranging from 0 to 9). Some possible care license plate numbers are B1930, C2970, YO4001, DUH2093. HOW MANY PSSIBLE LICENSE PLATE NUMBERS ARE THERE
a: if repetition of letters and digits is allowed
26^3*10^4 = 175,760,000
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b: if repetetion of letters and digits is not allowed
26*25*24*10*9*8*7 = 78,624,000
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Cheers,
Stan H.