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How to find the number of ways to go from on point to another on the cartesian plane ?

Supposing we have to go from (0,0) to (5,3). Then what will be the number of ways ?

Note:- You can only go up, right Please give solution with proof and logic.

Note by Aayush Mani
2 years, 5 months ago

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Okay, so you have two choices at any given point. You can go up, and you can go right. Let's name these U and R. To get to \((5, 3)\), you have to make 5 R and 3 U. So all that you're really doing is computing 8 (the total number) choose 3 (or 5), which is \(\boxed{56}\). :D Finn Hulse · 2 years, 5 months ago

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