Circular permutation

Om Prakash Mishra

24/09/2018 2 0

When things are arranged in a circle then number of permutations ( arrangements ) is calculated in the following way :

Since one of the objects is always fixed in its position so the total number of objects to be arranged gets reduced by 1.

So if total n objects are there then no of permutations will be

(1) when clockwise and anticlockwise permutations are counted different = (n-1)!

(2) when clockwise and anticlockwise are not counted different = (n-1)!/2

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