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SMO 2010 Open Round 1 Question 12

SMO · SMO 2010 Open Round 1

Question 12

The figure shows a road map connecting shopping malls $A,B$ in a city. Each side of a smallest square is a $1\text{ km}$ road. Regions $C,D$ are two large residential estates. Find the number of shortest routes from $A$ to $B$ along the roads shown.

Question illustration