Ariana G.

asked • 05/31/15

I need help with this difficult word problem

Before the 1976, California license-plate numbers consisted of three numbers (for example, EGT 893). In the summer of 1976, however, the state ran out of numbers of this type and started issuing seven-digit plates (such as GIR 788 1). How many possible license plate numbers can be made from 3 letters followed by 4 numerical digits? (Base your answer on 26 letters in the alphabet and 10 numerical digits.)  

2 Answers By Expert Tutors

By:

Mark M. answered • 05/31/15

Tutor
5.0 (278)

Mathematics Teacher - NCLB Highly Qualified

David W.

Too many 26's in that calculation!   How about 175760000  ?
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05/31/15

David W.

Too many 26's in that number!   How about  175,760,000  ?
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05/31/15

Mark M.

How do you come to the conclusion that there is one too many 26's?
The problem says "3 letters." For each letter there are 26 possibilities.
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05/31/15

David W.

By multiplying:
                  26*26*26*26*10*10*10*10 = 4569760000       (with one too many 26's)
      and            26*26*26*10*10*10*10 = 175760000     (the answer)
 
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06/01/15

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