Question

in how many diffirent ways can 8 friend sit around a table​

Answer 1

Step-by-step explanation:

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There are 10 arrangements of people and empty seats; each seat at the table could be considered the first empty seat clockwise, followed by a person, followed by the other empty seat.

There are 8! (8 factorial) permutations of 8 people to sit around the table for each of the 10 arrangements described above.

Hence there are 10 * 8! = 403200 ways to sit 8 people in the manner described.

Answer 2

Answer:

There are 10 arrangements of people and empty seats; each seat at the table could be considered the first empty seat clockwise, followed by a person, followed by the other empty seat.

There are 8! (8 factorial) permutations of 8 people to sit around the table for each of the 10 arrangements described above.

Hence there are 10 * 8! = 403200 ways to sit 8 people in the manner described.