Show that, with n relations, there are (2(n−1))! / (n−1)! different join orders.Hint: A complete binary tree is one where every internal node has exactly two children. Use the fact that the number of different complete binary trees with n leaf nodes is:1/n (2(n − 1)(n − 1) )If you wish, you can derive the formula for the number of complete binary treeswith n nodes from the formula for the number of binary trees with n nodes.The number of binary trees with n nodes is:1/n + 1(2n               n) This number is known as the Catalan number, and its derivation can be found in any standard textbook on data structures or algorithms.

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A:

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A: Dear Student, The answer to your question is given below -

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A: ANSWER: