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Exercise 2: In probability theory, one problem that often arises is determining the number of ways in which p objects can be selected from n distinct objects without regard to the order in which they are selected. Such selections are called combinations. The number of combinations ofp objects from a set with n objects is C (n, p) and is given by: n! C(n, p) = (п - р)! * р! Write a Python program which will calculate and display on the screen the number of possible combination C based on the values of n and p; where both n and p are positive integers less than 21 and n> p. Implement and use at least the following three functions: fact(..): A function when passed a positive integer value, will calculate and return the factorial of that number. comb..): A function when passed n and p (n: total number of objects and p: number of objects taken at a time) will calculate and return the total number of possible combinations (using the formula above). It calls function fact..) main(..): reads and validates the values of n and p, calls function comb(..) and prints the result. Enter n and p each in range [e, 20] and n>p:-8 10 InvalidInput, try again Enter n and p each in range [e. 20] and n>p: 5-6 Invalid input, try again Enter n and p each in range [0, 20] and n>p: S1 8 Invalid input, try again Enter n and p each in range (e, 20] and n>p: 9 17 Invalid input, try again Windows Entern and p each in range [e, 20] and n>p: 8 6 Number of combinations c(8,6)- 28 Figure 2. Exercise 2 Sample Run DELL

Exercise 2: In probability theory, one problem that often arises is determining the number of ways in which p objects can be selected from n distinct objects without regard to the order in which they are selected. Such selections are called combinations. The number of combinations ofp objects from a set with n objects is C (n, p) and is given by: n! C(n, p) = (п - р)! * р! Write a Python program which will calculate and display on the screen the number of possible combination C based on the values of n and p; where both n and p are positive integers less than 21 and n> p. Implement and use at least the following three functions: fact(..): A function when passed a positive integer value, will calculate and return the factorial of that number. comb..): A function when passed n and p (n: total number of objects and p: number of objects taken at a time) will calculate and return the total number of possible combinations (using the formula above). It calls function fact..) main(..): reads and validates the values of n and p, calls function comb(..) and prints the result. Enter n and p each in range [e, 20] and n>p:-8 10 InvalidInput, try again Enter n and p each in range [e. 20] and n>p: 5-6 Invalid input, try again Enter n and p each in range [0, 20] and n>p: S1 8 Invalid input, try again Enter n and p each in range (e, 20] and n>p: 9 17 Invalid input, try again Windows Entern and p each in range [e, 20] and n>p: 8 6 Number of combinations c(8,6)- 28 Figure 2. Exercise 2 Sample Run DELL

Database System Concepts
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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Exercise 2: In probability theory, one problem that often arises is determining the number of ways in which p objects can be selected from n distinct objects without regard to the order in which they are selected. Such selections are called combinations. The number of combinations ofp objects from a set with n objects is C (n, p) and is given by: n! C(n, p) = (п - р)! * р! Write a Python program which will calculate and display on the screen the number of possible combination C based on the values of n and p; where both n and p are positive integers less than 21 and n> p. Implement and use at least the following three functions: fact(..): A function when passed a positive integer value, will calculate and return the factorial of that number. comb(.): A function when passed n and p (n: total number of objects and p: number of objects taken at a time) will calculate and return the total number of possible combinations (using the formula above). It calls function fact(.) main(..): reads and validates the values of n and p, calls function comb(..) and prints the result. Enter n and p each in range [0,20] and n>p: -8 10 Invalidinput, try again Enter n and p each in range [e. 20] and n>p: 5-6 Invalid input, try again Enter n and p each in range [e, 20] and n>p: S1 8 Invalid input, try again Enter n and p each in range (e 20] and n>p: 9 17 Invalid input, try again Entern and p each in range [e, 20] and n>p: 8 6 Number of combinations c(8,6)- 28 Figure 2. Exercise 2 Sample Run DELL
Transcribed Image Text:Exercise 2: In probability theory, one problem that often arises is determining the number of ways in which p objects can be selected from n distinct objects without regard to the order in which they are selected. Such selections are called combinations. The number of combinations ofp objects from a set with n objects is C (n, p) and is given by: n! C(n, p) = (п - р)! * р! Write a Python program which will calculate and display on the screen the number of possible combination C based on the values of n and p; where both n and p are positive integers less than 21 and n> p. Implement and use at least the following three functions: fact(..): A function when passed a positive integer value, will calculate and return the factorial of that number. comb(.): A function when passed n and p (n: total number of objects and p: number of objects taken at a time) will calculate and return the total number of possible combinations (using the formula above). It calls function fact(.) main(..): reads and validates the values of n and p, calls function comb(..) and prints the result. Enter n and p each in range [0,20] and n>p: -8 10 Invalidinput, try again Enter n and p each in range [e. 20] and n>p: 5-6 Invalid input, try again Enter n and p each in range [e, 20] and n>p: S1 8 Invalid input, try again Enter n and p each in range (e 20] and n>p: 9 17 Invalid input, try again Entern and p each in range [e, 20] and n>p: 8 6 Number of combinations c(8,6)- 28 Figure 2. Exercise 2 Sample Run DELL
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