d. We want to calculate 4C2, 15C3, 12C5, 10C7. We also want to calculate 13 P6, 23 P20. Follow the steps below: 1. Write a recursive function factorial(n) that takes an integer n and returns n!, recall n! = nx (n-1) × (n − 2)x....x1 2. Write a funtion combination(n,r) that uses (calls) the factorial function in (1) to find nCr, recall that nCr = 3. Write a function permutarion(n,r) that uses (calls) the factorial function in (1) to find nPr, recall that nPr = n! r!(n-r)! n! (n-r)!

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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d. We want to calculate 4C2, 15C3, 12C5, 10C7. We also want to calculate 13P6, 23 P20. Follow the steps below:
1. Write a recursive function factorial(n) that takes an integer n and returns n!, recall n! = nx (n − 1) × (n − 2)×....x1
2. Write a funtion combination(n,r) that uses (calls) the factorial function in (1) to find nCr, recall that nCr =
3. Write a function permutarion(n,r) that uses (calls) the factorial function in (1) to find nPr, recall that nPr =
]: def factorial(n):
## write your code here
return n*factorial(n)
# Test your code
print (factorial (5))
#This should give 120
]: def combination (n, r):
result = 0
## write your code here
return result
# Test your code
print (combination (5, 2))
#This should give 10
]: def permutation (n, r):
result = 0
## write your code here
return result
# Test your code
print (permutation (5, 2))
#This should give 20
Run these for results
]: print ("combination results")
print("*"*20)
print (combination (4, 2))
print (combination (15, 3))
print (combination (12, 5))
print (combination (10, 7))
print("*"*20)
]: print ("permutation results")
print("*"*20)
print (permutation (13, 6))
print (permutation (23, 20))
print("*"*20)
n!
r!(n-r)!
n!
(n-r)!
Transcribed Image Text:d. We want to calculate 4C2, 15C3, 12C5, 10C7. We also want to calculate 13P6, 23 P20. Follow the steps below: 1. Write a recursive function factorial(n) that takes an integer n and returns n!, recall n! = nx (n − 1) × (n − 2)×....x1 2. Write a funtion combination(n,r) that uses (calls) the factorial function in (1) to find nCr, recall that nCr = 3. Write a function permutarion(n,r) that uses (calls) the factorial function in (1) to find nPr, recall that nPr = ]: def factorial(n): ## write your code here return n*factorial(n) # Test your code print (factorial (5)) #This should give 120 ]: def combination (n, r): result = 0 ## write your code here return result # Test your code print (combination (5, 2)) #This should give 10 ]: def permutation (n, r): result = 0 ## write your code here return result # Test your code print (permutation (5, 2)) #This should give 20 Run these for results ]: print ("combination results") print("*"*20) print (combination (4, 2)) print (combination (15, 3)) print (combination (12, 5)) print (combination (10, 7)) print("*"*20) ]: print ("permutation results") print("*"*20) print (permutation (13, 6)) print (permutation (23, 20)) print("*"*20) n! r!(n-r)! n! (n-r)!
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