On the \(xy\)-plane, the origin is labeled with an \(m\). The points \((1, 0), (0, 1), (-1, 0)\) and \((0, -1)\) and are labeled with \(m\)'s. The points\((0,2), (-1, 1), (-2, 0), (-1, -1), (0, -2),\) and \((1, -1)\) are labeled with \(t\)'s. The points \((3,0), (2,1), (1,2), (0, 3), (-1, 2), (-2, 1),\) and \((2, -1)\) are labeled with \(h\)'s. If you are only allowed to move up, down, left, and right, starting from the origin, how many distinct paths can be followed to spell the word 'math'?
please help :D
i spent a long time formatting this
