CAT 2019 Slot 1 QA Q3 Permutations & Probability

Question 3 of the Quantitative Ability (QA) section, CAT 2019 Slot 1, with CAT's official answer.

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 [TITA]

TITA: type in the answer. There are no options and no negative marking.

Answer: 3920 Permutations & Probability TITA

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.