In how many ways can $9$ 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.)

HELLLLLLLLLLLLLLLLLPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I get 5040. Is that right?

Guest Jun 19, 2017


Anchor Anna and Bob in any two chairs.....and they can be seated in two ways.....the other seven people can be arranged in 7!  = 5040 ways




2 ways x 5040 ways   =  


10,080  arrangements



cool cool cool

CPhill  Jun 19, 2017

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