圆排列是 n 个不同的物体可以围绕一个固定圆排列的总方法数。它有两种类型。
Circular permutation is the total number of ways in which n distinct objects can be arranged around a fix circle. It is of two types.
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Case 1 − Clockwise and Anticlockwise orders are different.
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Case 2 − Clockwise and Anticlockwise orders are same.
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${P_n}$ = represents circular permutation
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${n}$ = Number of objects
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${P_n}$ = represents circular permutation
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${n}$ = Number of objects
Example
Problem Statement
计算以圆桌旁就坐的 4 个人的循环排列,其中考虑 i) 顺时针和逆时针顺序不同以及 ii) 顺时针和逆时针顺序相同。
Calculate circular permulation of 4 persons sitting around a round table considering i) Clockwise and Anticlockwise orders as different and ii) Clockwise and Anticlockwise orders as same.
Solution
In Case 1, n = 4, Using formula
In Case 2, n = 4, Using formula