The One Winner
Here it is.
A local mechanic named Vinny, being renowned for his prowess in arm wrestling, asked to set up a tournament at the local watering hole, where he goes every night.
It's going to be a single elimination tournament. Meaning once you lose, you're out, no ties allowed. This is arm wrestling. You can't have a tie in arm wrestling.
To his horror, 247 people have signed up for this tournament, and the barkeeper wants to know how many bouts have to be fought.
Figuring the bout takes like five minutes, he wants to know what time he should start the event, so that they can finish before closing time.
So Vinny is all upset. He has to figure this out now. He has to set up a branching tree, but he can't count so well...
Fortunately, there's a little guy sitting next to Vinny at the bar, and the guy says, "I know the answer. There is a simple reasoning process which will allow you to instantly know how many bouts have to be fought."
And the puzzler question is, if there are 247 people that signed up, how many bouts will there have to be in order to determine one winner?