20 points plz help as soon as possible thanks

If a(0,0,0) and b(2,2,2) are points in coordinate space, how many paths are there from a to b that move from one lattice point to another in the positive x-,y- or z- direction?

Find the x coordinate of the point.

2-3 6. use your equation to find how high tyler will have to climb to scale the peak. (4 points: 2 points for correctly substituting values, 2 points for the correct height)