IB HL Combinatorics Question on 3 digit numbers

A 3 digit number is made up using the digits 0,1,2,3,4,5,6 and 7 at most once each. The number cannot start with 0. How many different numbers can be formed if a). there are no other restrictions b) the number must end in 2,4 or 6 c) the number must end in 0 d) the number must be even?

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