Lattice Path Consider Paths With North And East Steps

1. Lattice path: Consider paths with North and East Steps. how many lattice paths are there from the point of coordinates (0,0) to the point of coordinates (a, b) where a and b are two non negative integers.
2. now consider lattice paths with North-east and South-east steps. how many lattice paths are there from the point of coordinates (0,0) to the point of coordinates (0,b) where b is a non negative integer.