There are 5 questions in a quiz designated by:
a, b, c, d, e
Each of the questions can only have one of 4 possible answers:
Possible Answer #1: 5 Possible Answer #2: -5 Possible Answer #3: 7 Possible Answer #4: -7
Am I correct to say that there are 625 possible variations of answers that we can receive?
Can any of the variations equal to zero when we would add all the answers up?
For example on variation
(5) + (-5) + (7) + (-7) + (5) = 5
So the core question is can the sum of all the answers to a particular variation ever be zero.