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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.

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    Do you mean 5,-5,7, and -7? Also, can you explain the last sentence a little more clearly?2011-02-04

2 Answers 2