What’s the answer ? To this

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?

The multiplication property of zero states that the product of any number and 0 is 0. what must be true about either a or b to make ab=0

Anyone know? is appreciated! will mark brainliest if correct!