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4. What is the coefficient of x^12 in (x + 2)^15? 5. How many shortest lattice paths start at (3, 3) and a) end at (10, 10). b) end at (10, 10) and

4. What is the coefficient of x^12 in (x + 2)^15?

5. How many shortest lattice paths start at (3, 3) and

a) end at (10, 10).

b) end at (10, 10) and pas through (5, 7)?

c) end at (10, 10) and avoid (5, 7)?

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