The symbol (n) is read as "n choose k". The value of (^) is the number of ways to choose an (unordered) subset of k distinct elements from a set of n elements. (2) is also called the number of k-combinations of k distinct elements from a set with n elements and is written as the function C(n, k). For example, there are = 6 ways to choose 2 elements from the set {4,5,6,7} as follows: {4,5}, {4,6}, {4,7}, {5,6}, {5,7}, and {6,7}. The value of (2) can be computed with the recursion relation: (^) = (x−¹³) + (n×¹) for O (n) = (n) = 1 for n ≥ 0 Implement this recursive relation in a recursive function C(n, k) that returns the value of (^). - C(n, k) = 1 if k=0 or k=n, and C(n, k) = C(n - 1, k − 1) + C(n - 1, k) otherwise. Call C(n, k) to compute C(14,3), C(14,11), and C(18,8). // Return the number of ways to choose a subset of k distinct elements from a set of n elements public static int C( int n, int k ) { ... }

The symbol (n) is read as "n choose k". The value of (^) is the number of ways to choose an (unordered) subset of k distinct elements from a set of n elements. (2) is also called the number of k-combinations of k distinct elements from a set with n elements and is written as the function C(n, k). For example, there are = 6 ways to choose 2 elements from the set {4,5,6,7} as follows: {4,5}, {4,6}, {4,7}, {5,6}, {5,7}, and {6,7}. The value of (2) can be computed with the recursion relation: (^) = (x−¹³) + (n×¹) for O (n) = (n) = 1 for n ≥ 0 Implement this recursive relation in a recursive function C(n, k) that returns the value of (^). - C(n, k) = 1 if k=0 or k=n, and C(n, k) = C(n - 1, k − 1) + C(n - 1, k) otherwise. Call C(n, k) to compute C(14,3), C(14,11), and C(18,8). // Return the number of ways to choose a subset of k distinct elements from a set of n elements public static int C( int n, int k ) { ... }

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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