In: Advanced Math
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 subject to the following
restrictions?
(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 mathematics problem above. Show all work/explanations