Question 246311: License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is allowed?
4)
_______
A)
1,757,600
B)
11,881,376
C)
100,000
D)
175,760
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 26 letters in the alphabet.
10 numbers (0 through 9)
you have 3 letters followed by 2 digits.
that would be:
26*26*26*10*10 = 1757600 possible combinations
here's how it works.
assume only 3 letters (abc) and only 2 number (01) are possible in each position.
assume only 3 positions (2 letters and 1 number)
that would be 3 * 3 * 2 = 18 possible combinations
they would be:
aa1
aa2
ab1
ab2
ac1
ac2
ba1
ba2
bb1
bb2
bc1
bc2
ca1
ca2
cb1
cb2
cc1
cc2
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