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


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



cool cool cool

CPhill  Jun 13, 2017
edited by CPhill  Jun 13, 2017
edited by CPhill  Jun 13, 2017
edited by CPhill  Jun 13, 2017

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