Answer to Riddle #83: Knockout Competion with 15 players.

83. John runs a tennis club. He's to organise a knockout tournament. He puts out the sign up sheet and after a week he has 15 sign-ups. John is confused, he can't work out how to organise a knock out tournament with 15 players, and doesn't know how many courts to book.

He asks Arabella, the professor. She knows instantly, without giving it a second's thought...

How does Arabella do this? She doesn't have time to plan the whole tournament.

I've been racking my brain to come up with puzzles, and I remembered this one:

diagram of a knockout competition with 15 playersBefore reading the answer can I interest you in a clue?

So there are 14 games and he needs to book 14 courts.

Professor Arabella realises that since it's a knockout tournament there will be someone eliminated in every game. And a winner. In a knockout competition there will always one less game than there are players.

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