No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Circular Permutations = (Value of N-1)!
PCircular = (n-1)!
This formula uses 2 Variables
Variables Used
Number of Circular Permutations - Number of Circular Permutations is the number of distinct arrangements that are possible around a fixed circle using 'N' things following a given condition.
Value of N - Value of N is any natural number or positive integer that can be used for combinatorial calculations.
STEP 1: Convert Input(s) to Base Unit
Value of N: 8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PCircular = (n-1)! --> (8-1)!
Evaluating ... ...
PCircular = 5040
STEP 3: Convert Result to Output's Unit
5040 --> No Conversion Required
FINAL ANSWER
5040 <-- Number of Circular Permutations
(Calculation completed in 00.004 seconds)

Credits

Created by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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St Joseph's College (SJC), Bengaluru
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4 Circular Permutation Calculators

No of Circular Permutations of N Different Things taken R at once if both Orders taken as Same
Go Number of Circular Permutations = (Value of N!)/(2*Value of R*(Value of N-Value of R)!)
No of Circular Permutations of N Different Things taken R at once if both Orders taken as Different
Go Number of Circular Permutations = (Value of N!)/(Value of R*(Value of N-Value of R)!)
No of Circular Permutations of N Different Things taken All at once, both Orders taken as Same
Go Number of Circular Permutations = ((Value of N-1)!)/2
No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different
Go Number of Circular Permutations = (Value of N-1)!

No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different Formula

Number of Circular Permutations = (Value of N-1)!
PCircular = (n-1)!

What is Circular Permutation?

In mathematics, A Circular Permutation is an arrangement of a set of objects in a circle, such that each object is succeeded by another object, with the last object being succeeded by the first. For example, if the set of objects is {1, 2, 3}, then the circular permutations of that set are:

(1, 2, 3)
(2, 3, 1)
(3, 1, 2)

In general, the number of circular permutations of a set of n objects is given by (n-1)!.

Circular permutations can also be used to describe the arrangement of elements in a ring, where each element is succeeded by another element, and the last element is succeeded by the first element.

How to Calculate No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different?

No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different calculator uses Number of Circular Permutations = (Value of N-1)! to calculate the Number of Circular Permutations, No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different formula is defined as the total number of ways to arrange n distinct objects along a fixed circle at a time, if clockwise and anticlockwise orders are taken as different. Number of Circular Permutations is denoted by PCircular symbol.

How to calculate No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different using this online calculator? To use this online calculator for No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different, enter Value of N (n) and hit the calculate button. Here is how the No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different calculation can be explained with given input values -> 720 = (8-1)!.

FAQ

What is No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different?
No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different formula is defined as the total number of ways to arrange n distinct objects along a fixed circle at a time, if clockwise and anticlockwise orders are taken as different and is represented as PCircular = (n-1)! or Number of Circular Permutations = (Value of N-1)!. Value of N is any natural number or positive integer that can be used for combinatorial calculations.
How to calculate No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different?
No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different formula is defined as the total number of ways to arrange n distinct objects along a fixed circle at a time, if clockwise and anticlockwise orders are taken as different is calculated using Number of Circular Permutations = (Value of N-1)!. To calculate No of Circular Permutations of N Different Things taken All at once, both Orders taken as Different, you need Value of N (n). With our tool, you need to enter the respective value for Value of N and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Number of Circular Permutations?
In this formula, Number of Circular Permutations uses Value of N. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Number of Circular Permutations = ((Value of N-1)!)/2
  • Number of Circular Permutations = (Value of N!)/(2*Value of R*(Value of N-Value of R)!)
  • Number of Circular Permutations = (Value of N!)/(Value of R*(Value of N-Value of R)!)
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