Write a Python program (Lab9_ex2_Id.py) 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.
Write a Python program (Lab9_ex2_Id.py) 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.
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
Related questions
Question
![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 of p objects from a set with n objects is C (n, p) and
is given by:
п!
С(п, р) —
(п- р)! * p!
Write a Python program (Lab9_ex2_Id.py) 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
3
(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.
Entor
oach
201 and](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff20202e7-e5d9-47f3-a071-dddc556e7432%2F24212e98-b356-4b28-843f-d9c42bf960c9%2Fw5pftp9_processed.png&w=3840&q=75)
Transcribed Image Text: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 of p objects from a set with n objects is C (n, p) and
is given by:
п!
С(п, р) —
(п- р)! * p!
Write a Python program (Lab9_ex2_Id.py) 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
3
(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.
Entor
oach
201 and
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Follow-up Question
why we write like this in fact() function?
![***********ARNAASTOORN
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#
#program
else:
def fact(n):
if (n==1 or n==0):
return 1
#enter any number: 1
#enter any number: 2
#neither
return n* fact(n-1)
def comp(n,p):
def main():
I
result = fact(n)/(fact(n-p)*fact(p))
return result
n,p
flag
while
True
flag:
map(int,input('Enter n and p each in rang
if ((int(n) > 20 or int(n) < 0) or (int (p)
print()
print('Invalid input, try again')
n₂p
map(int,input('Enter n and p each](https://content.bartleby.com/qna-images/question/6a54c5db-293b-4344-870a-d5667eae1eff/28862eae-eaf6-4193-9d76-804d10e5fd9d/jnkrrib_thumbnail.jpeg)
Transcribed Image Text:***********ARNAASTOORN
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#
#program
else:
def fact(n):
if (n==1 or n==0):
return 1
#enter any number: 1
#enter any number: 2
#neither
return n* fact(n-1)
def comp(n,p):
def main():
I
result = fact(n)/(fact(n-p)*fact(p))
return result
n,p
flag
while
True
flag:
map(int,input('Enter n and p each in rang
if ((int(n) > 20 or int(n) < 0) or (int (p)
print()
print('Invalid input, try again')
n₂p
map(int,input('Enter n and p each
Solution
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