Answered: 1 2n n + 1 n 1(2 (п — 1)\ (п — 1) n -

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

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:

If you wish, you can derive the formula for the number of complete binary trees with n nodes from the formula for the number of binary trees with n nodes. The number of binary trees with n nodes is:

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