PR 4 # 31

Wacky · 2006-07-14, 11:57

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

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

2006-07-14, 11:57	#1
Wacky Jun 2003 The Texas Hill Country 3²·11² Posts	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? Last fiddled with by Wacky on 2006-07-14 at 11:58

2006-07-14, 17:32	#2
axn Jun 2003 11735₈ Posts	46. The numbers 11, 5, and 7 have something to do with it, as well !