Hint 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.
diagram of a knockout competition with 15 players There is a fixed relationship between the number of players in a knockout competition and the number of games.

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