How many ways are there to travel in xyz space from the origin (0, 0, 0) to the point (4, 3, 5) by taking steps one unit in the
positive x direction, one unit in the positive y direction, or one unit in the positive z direction? (moving in the negative x, y, or z direction is prohibited, so that no backtracking is allowed.)?
I would think you would have to walk the 4 spaces out on the X axis. I would then turn and walk 5 spaces on the Z axis before turning up to walk the last 3 steps on the Y axis.
I think any other way would cause you to move in a negative direction. I hope this helps.
