SOLUTION: Two questions to be solved 1) How many different lincense plates are possible if each plate consists of 3 letters followed by a 3 digit numbers assumed that repeating in the lett

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Question 1141025: Two questions to be solved
1) How many different lincense plates are possible if each plate consists of 3 letters followed by a 3 digit numbers assumed that repeating in the letters or numbers are allowed and that any of the 10 digit may be used.
2) A health inspector must visit 3 of 15 restaurants on Monday.
In how many ways can she pick-up a first, second and third restaurants to visit?

Answer by ikleyn(52807) About Me  (Show Source):
You can put this solution on YOUR website!
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highlight%28cross%28Two%29%29 highlight%28cross%28questions%29%29 highlight%28cross%28to_be_solved%29%29. Please help me answer these two questions.

1) How many different lincense plates are possible if each plate consists of 3 letters followed by
a 3 digit numbers assumed that repeating in the letters or numbers are allowed and that any of the 10 digit may be used.
2) A health inspector must visit 3 of 15 restaurants on Monday.
In how many ways can she pick-up a first, second and third restaurants to visit?
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1)  26%5E3%2A10%5E3 = 17576000 different licence plates.


2)  In  15*14*13 = 2730 ways.