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
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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
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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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
Transcribed Image Text:***********ARNAASTOORN 42 44 45 47 48 49 50 52 53 57 58 59 60 61 63 64 65 66 67 68 69 70 71 72 73 74 75 # #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
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