Answered

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how many different ways are there to seat five people around a circular table, where two seatings are considered to be the same if each person has the same neighbor to the left and the same neighbor to the right?

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If the person has same neighbor to the left and right , Seating is considered same. By using circular permutation, the answer is 2.

What do you mean by permutation?

A conceivable order or arrangement for a group of items, especially one among several alternatives.

What is the formula to calculate permutation?

The formula for permutation is:

[tex]P(n,r)= \frac {n!}{(n-r)!}[/tex] (Permutation)

[tex]P(n)=(n-1)![/tex] (Circular permutation)

Total number of people=5

Since the orientation with same neighbor to left and right is considered same. We consider 3 people as 1 which represent a person with neighbors.

Total people used in circular permutation=3

P(3)= (3-1)!

=2!

=2.

To learn more about circular permutations visit:

https://brainly.com/question/29759450

#SPJ4

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