Problem: If n is a positive integer, then n factorial (written n!) is the product of the numbers from 1 through n. Write a recursive function to calculate n factorial. Hints: n! =n · (n – 1) · (n – 2) 3. 2· 1 As written, n! can be calculated iteratively with a for loop-however, when rewritten as n! = n · ((n – 1) · (n – 2) · 3 2 . 1) = n · (n – 1)! ... n! is expressed in terms of (n – 1)! and can be calculated recursively with n =1 as the base case.
Problem: If n is a positive integer, then n factorial (written n!) is the product of the numbers from 1 through n. Write a recursive function to calculate n factorial. Hints: n! =n · (n – 1) · (n – 2) 3. 2· 1 As written, n! can be calculated iteratively with a for loop-however, when rewritten as n! = n · ((n – 1) · (n – 2) · 3 2 . 1) = n · (n – 1)! ... n! is expressed in terms of (n – 1)! and can be calculated recursively with n =1 as the base case.
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 6PE
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