CAT 2019 Permutations and Combinations Question (Medium)

Question

With rectangular axes of coordinates, the number of paths from to via , where each step from any point is either to or to is

Accepted Answer

Step 1 We are asked to find the number of lattice paths from to via . The total number of such paths is the product of 1. Number of paths from to 2. Number of paths from to Step 2 First leg to Number of steps right Number of steps up Total steps Number of paths Step 3 Second leg to Number of steps r

CAT 2019

Quantitative

Permutations and Combinations

Medium

With rectangular axes of coordinates, the number of paths from $(1,1)$ to $(8,10)$ via $(4,6)$ , where each step from any point $(x,y)$ is either to $(x,y+1)$ or to $(x+1,y)$ is

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