How many paths are there from A to B passing through C, if every step must be up or to the right?

Guest Jun 23, 2018

#1**0 **

See the answer here:

**https://web2.0calc.com/questions/how-many-paths-are-there-from-to-if-every-step-must#r1**

Guest Jun 23, 2018

#2**+2 **

From A to C we have all the possible arrangements of this set

( North, North, East) = C(3,1) = 3

From C to B we have all the possible arrangements of this set

( North , North, East, East, East, East ) = C(6,2) = 15

So...the total number of paths from A to B through C are 3 * 15 = 45

CPhill Jun 23, 2018