Permutation and Combination problem 1 by Dhaval Furia

Algebra Level pending

In the Cartesian plane, find the number of paths to move from ( 1 , 1 ) (1,1) to ( 8 , 10 ) (8,10) via ( 4 , 6 ) (4,6) , where each step from any point ( x , y ) (x, y) is either to ( x , y + 1 ) (x, y+1) or to ( x + 1 , y ) (x+1, y) .


The answer is 3920.

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