# The one with the Triangular grid.

Find the number of ways from $$(0,0)$$ to $$(8,8)$$ in the right angled isosceles triangle forming the sides:

$$1) \quad(0,0)$$ to $$(8,0)$$,
$$2) \quad(8,0)$$ to $$(8,8)$$,
$$3) \quad(0,0)$$ 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 $$(m,m)$$.

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