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nPr:
nPr indicates n permutation r.
The process of organizing all the individuals in a given set to form a sequence is referred to as permutation.
The Given mathematical formula for nPr =n!/(n-r)!
Given the values of n, r and the task is to find the value of nPr.
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Examples:
Example1:
Input:
Given n value = 5 Given r value = 4
Output:
The value of nPr for above given n, r values = 120
Example 2:
Input:
Given n value = 6 Given r value = 3
Output:
The value of nPr for above given n, r values = 120
Program to Calculate the Value of nPr
Below are the ways to calculate the value of nPr for given values of n,r.
Method #1: Using math Module (Static Input)
Approach:
- Import math module using the import keyword.
- Give the number as static input and store it in a variable.
- Give another number as static input and store it in another variable.
- Calculate the value of nPr with reference to the standard mathematical formula n!/(n-r)! using factorial() function
- Store it in a variable.
- Print the value of nPr for the above-given n, r values.
- The Exit of the Program.
Below is the implementation:
# Import math module using the import keyword.
import math
# Give the number as static input and store it in a variable.
gvn_n_val = 5
# Give another number as static input and store it in another variable.
gvn_r_val = 4
# Calculate the value of nPr with reference to standard mathematical formula n!/(n-r)!
# using factorial() function
# Store it in a variable.
n_p_r = math.factorial(gvn_n_val)//math.factorial(gvn_n_val-gvn_r_val)
# Print the value of nPr for the above given n, r values.
print("The value of nPr for above given n, r values = ", n_p_r)
Output:
The value of nPr for above given n, r values = 120
Method #2: Using math Module (User input)
Approach:
- Import math module using the import keyword.
- Give the number as User input using the int(input()) function and store it in a variable.
- Give another number as User input using the int(input()) function and store it in another variable.
- Calculate the value of nPr with reference to the standard mathematical formula n!/(n-r)! using factorial() function
- Store it in a variable.
- Print the value of nPr for the above-given n, r values.
- The Exit of the Program.
Below is the implementation:
# Import math module using the import keyword.
import math
# Give the number as user input using the int(input()) function and store it in a variable.
gvn_n_val = int(input("Enter some Random number = "))
# Give another number as user input using the int(input()) function and store it in another variable.
gvn_r_val = int(input("Enter some Random number = "))
# Calculate the value of nPr with reference to standard mathematical formula n!/(n-r)!
# using factorial() function
# Store it in a variable.
n_p_r = math.factorial(gvn_n_val)//math.factorial(gvn_n_val-gvn_r_val)
# Print the value of nPr for the above given n, r values.
print("The value of nPr for above given n, r values = ", n_p_r)
Output:
Enter some Random number = 6 Enter some Random number = 3 The value of nPr for above given n, r values = 120
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