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Enigmas & puzzles

By Ian Stewart   September 2006

A league of two halves

“Football season’s started again, then,” said David Kickham.

“Yup,” replied Robby Fouler. “I’ve just been sorting out the fixture list for the Tackleham league. A right palaver, I’ll tell you. Every team plays every other team once. There’s too many teams to have a home game and an away game.”

“How many teams are there in the league?” asked David.

“I don’t entirely recall,” confessed Robby. “I do know that there are three more teams this season than there were last season.”

David thought for a moment. “Well, then—how many matches do they…

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