Find the number of paths from P to Q, where each step is to the right or up.
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
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 (2+3)!2!3!=5!2!3!=10
2. Number of permutations of rrrruuu (4+3)!4!3!=7!4!3!=35
So in total there are 10∗35=350 paths