4. Determine the number of lattice paths there are for each. (Remember, a lattice path only uses moves that go one unit up or one unit right at each move.) (a) [2 marks] How many lattice paths are there from (-10, -14) to (37,59)? (b) [3 marks] How many lattice paths are there from (2,5) to (17,28) that pass through (10, 10)? (Hint: break the overall path up into two smaller paths.) (c) [2 marks] Suppose a < x