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A zip code is a string of five digits (0,1,2,3,4,5,6,7,8,9). How many zip codes are there...

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Advance Math

A zip code is a string of five digits (0,1,2,3,4,5,6,7,8,9). Howmany zip codes are there subject to the followingrestrictions?
(1) Only even digits are allowed.
(2) The first digital is even and the last digit is odd
(3) Digits cannot be repeated
(4) 0 appears exactly four times
(5) 0 appears at at least once

Solve the following discrete mathematicsproblem above. Show all work/explanations

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