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

 Oct 19, 2018
 #1
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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

 Oct 19, 2018

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