1.5 Pascal’s Method

 

Pascal’s Method involves applying Pascal’s Triangle to counting paths between two points.

 

 

Ex 1  How many ways can water get into the red bucket?

 

Ex 2  How many ways can you spell PASCAL, by moving one letter at a time, downward?

 

 

 

P

 

 

 

 

 

A

 

A

 

 

 

S

 

S

 

S

 

C

 

C

 

C

 

C

 

A

 

A

 

A

 

 

 

L

 

L

 

 

                                                                                                 

 

Ex 3  Determine the number of paths for the checker to the top of the board, so long as the checker cannot pass through the X.

 

 

p. 256# 1-7, 9

Review:

p. 260# 1-15

p. 261# 1-8