+0  
 
0
37
1
avatar+418 

How many paths are there from \(C\) to \(B\), if every step must be up or to the right?

Logic  Oct 19, 2018
 #1
avatar+90968 
+1

To get from A to C  we have this possible path

 

right up up

 

But we could select the  "ups" to be in any two of the three positions

 

So  C(3,2)  = 3 possible paths from A to C

 

To get from  C to B  we have this possible path

 

right  right right  right    up  up

 

But we could select the "ups" to occupy any two of the six positions

 

So C(6,2)  = 15 possible paths from C to B

 

So...the total possible paths from A to B  = 3 * 15  =  45

 

 

cool cool cool

CPhill  Oct 19, 2018

33 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.