Resources:
Python 3 Documentation Documentation
Objective: Compute C(n,k) = n! / ((n-k)! k!)
Definition: An r-combination of elements of a set is an unordered selection of r elements from the set. Thus, an r-combination is simply a subset of the set with r elements.The number of r-combinations of a set with n distinct elements is denoted by C(n, r).
Write a program that has a function def Combination(n, k) that computes 'n choose k' (the combination of n things taken k at a time) using the definition for C(n,k):
C(n,k) = n! / ((n-k)! k!)
You will need to use the recursive factorial function from Lab 6 to solve the factorials.
n! = n * (n-1)! n! = 1 if n = 0 or n = 1 Example: 5! = 5 * 4 * 3 * 2 * 1 = 120
Your Combination function will call the factorial function that you wrote in Lab 6.
Conditions of Satisfaction:
$ python lab9.py 6! = 720 4! = 24 C(6,4) = 720/(2 * 24) = 15