In how many ways can we seat 8 people around a table if Alice and Bob won't sit next to each other?  (Two seatings are the same if one is a rotation of the other.)
Question:
In how many ways can we seat 8 people around a table if Alice and Bob won't sit next to each other?  (Two seatings are the same 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 8 people around a table if Alice and Bob won't sit next to each other?  (Two seatings are the same if one is a rotation of the other.)
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