In how many ways can we seat 6 people around a round table if Fred and Gwen insist on sitting opposite each other?  (Two seatings are considered equivalent if one is a rotation of the other.)
Question:
In how many ways can we seat 6 people around a round table if Fred and Gwen insist on sitting opposite each other?  (Two seatings are considered equivalent if one is a rotation of the other.)
Answer:
Let's think step by step.

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In how many ways can we seat 6 people around a round table if Fred and Gwen insist on sitting opposite each other?  (Two seatings are considered equivalent if one is a rotation of the other.)
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