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In how many ways can friends sit at a dinner table if two of them, Anna and Bob, insist on having exactly two people seated between them? (As usual, two seatings are considered the same if one is a rotation of the other.)

Guest Jun 13, 2017

#1**+1 **

Assuming that there are "n" total people

Anchor Anna and Bob in any two chairs separated by two people.....then the other people can be arranged in (n - 2)! ways

And Anna and Bob themselves can be arranged in 2 ways

So.....the total number of arrangements = 2 * ( n - 2)! ways

CPhill Jun 13, 2017