4. Determine the number of lattice paths there are for each. (Remember, a lattice path only...

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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 <m and b≤ y ≤n. How many lattice paths are there from (a, b) to (m, n) that pass through (x, y)? 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 <m and b≤ y ≤n. How many lattice paths are there from (a, b) to (m, n) that pass through (x, y)?

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