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Find the number of paths from P to Q, where each step is to the right or up.

 Jun 22, 2021
 #1
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Ito get to the middle point from p it takes 2 to the right and 3 up, so there Is 6 ways to get to the middle point.so applying this logic From the middle point to q we can apply the same logic you need to travel4 to the right and 3 up so 12, now we can mutiply 6 x 12, =72

 Jun 22, 2021
 #2
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Find the number of paths from P to Q, where each step is to the right or up.

 

Answer here: https://www.quora.com/What-is-the-number-of-paths-from-P-to-Q-where-each-step-is-to-the-right-or-up

 

1. Number of permutations of rruuu   \(\dfrac{(2+3)!}{2!3!}=\dfrac{5!}{2!3!} = \mathbf{10}\)

 

2. Number of permutations of rrrruuu  \(\dfrac{(4+3)!}{4!3!}=\dfrac{7!}{4!3!} = \mathbf{35}\)

 

 

So in total there are \(10*35=350\) paths

 

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 Jun 23, 2021

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