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
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Am I correct to say that there are 625 possible variations of answers that we can receive?
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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
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So the core question is can the sum of all the answers to a particular variation ever be zero.