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An improbable game of darts

Published online by Cambridge University Press:  01 August 2016

Tony Crilly  and
Stephen Suen
Tony Crilly
Affiliation:
City Polytechnic of Hong Kong, Argyle Tower 2, Mongkok, Hong Kong
Stephen Suen
Affiliation:
City Polytechnic of Hong Kong, Argyle Tower 2, Mongkok, Hong Kong
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Extract

The general utility of the ‘pigeon hole principle’ (that if n + 1 pigeons are placed in n boxes one of the boxes contains more than one pigeon!) is neatly illustrated by the problem of showing that:

If seven darts land on a dartboard in any configuration whatsoever, there will always be two darts which are not more than a distance of one radius apart.

Type
Research Article
Information
The Mathematical Gazette , Volume 71 , Issue 456 , June 1987 , pp. 97 - 100
Copyright
Copyright © Mathematical Association 1987

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