Prove the identity in Exercise 27 using Exercise 33.

Chapter 5, Problem 5.4.37

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Prove the identity in Exercise 27 using Exercise 33. [Hint: First, note that the number of paths from (0, 0) to (n + 1, r) equals e + + r ). Second, count the number of paths by summing the number of these paths that start by going k units upward for k = 0, 1, 2, . .. , r.]

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