mersenneforum.org - PR 4 # 31

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Wacky

2006-07-14 11:57

PR 4 # 31

A, B, and C are three towns, each pair being connected by a network of roads. A motorist notices that there are 82 routes from A to B, including those via C and 62 routes from B to C, including those via A. He also notices that there are fewer than 300 routes from A to C, including those via B. How many are there?

axn	2006-07-14 17:32

[spoiler]46. The numbers 11, 5, and 7 have something to do with it, as well ![/spoiler]

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