Find the number of ways to from (0,0) to (8,8) in the right angled isosceles triangle forming the sides:
1) (0,0) to (8,0)
2) (8,0) to (8,8)
3) (0,0) to (8,8)
You can only go in positive vertical or horizontal directions(only integer co-ordinates). Diagonals are not allowed.
Bonus: Try to find the number of ways for a general case like (0,0) to (m,m)