P, Q, R, and S ran for a contest.
A, B, C made the following statements regarding results.
1. A said either P or S will definitely win.
2. B said he is confident that P will not win.
3. C said he is confident that neither S nor R will win.
When the result came, it was found that only one of the above three people had made a correct statement.
Who has made the correct statement and who has won the contest?
There are three scenarios, Firstly lets suppose Scenario A - 1 is correct and 2 and 3 are not. From 1) we know either P or S won. Lets suppose P won that would be contradictory because 3) would be correct also. Lets suppose S won that would prove 2) correct also, contradictory. Scenario A thus fails. Scenario C - 3) is correct and 1) are 2) are not. From 3) we know either S or R won. Either case proves 2) correct also which is a contradiction. Thus the only possibility is Scenario B - 2) is correct and 1) and 3) are not. We then know from 1) P and S lost, from 2) gives us no additional help and from 3) Either S or R won. Therefore R won with B making the onlt correct statement.
Proof by Contradiction
