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well...first of all...the question states that all 3 men r good shooters...that does not mean they have to shoot each other...if A does not want to die...so might B and C...so they can all shoot the bullet away from others...then all 3 will survive...which comes to person A surviving...
$ ~: S0 n  Z4 w+ bwww.tvboxnow.comi might be wrong...
sorry...i forgot to add this to my answer above...do all 3 men know that they only have 1 bullet?
sorry...i forgot to add this to my answer above...do all 3 men know that they only have 1 bullet? if not i m sticking to my original answer
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