Page 89 - NUMINO Challenge_C2
P. 89
10 Number of Shortest Paths

Basic Concepts Number of Shortest Paths in 2-D Shapes

As shown below, the number of shortest paths from A to B can be found

by adding the number of paths to each point.

1 2B 1 2 3B 1 3 6B
A1 A 11 12 3
2 paths
3 paths A 11
6 paths

When there are diagonals, the path from A to B gets shorter as more
diagonals are passed.

BBB

AAA

Example Find the number of shortest paths from Hospital
the house to the hospital.

House

Class Notes

To go fr om the house to the hospital Hospital
using the shortest path, you must pass

through two diagonal lines: and .

You must not pass through diagonal line

because it goes in the opposite 22

direction of the hospital. 1 2
Find the number of shortest paths from

the house to the hospital passing through

the two diagonal lines found in . Fill in House 1
the blanks with the number of shortest

paths. Therefore, the number of shortest paths from the house to the hospital is .

86 NUMINO Challenge C2
   84   85   86   87   88   89   90   91   92   93   94