Question
In how many ways can 15 people be seated at a round table if $B$ refuses to sit next to A? What if $B$ only refuses to sit on A's right?
Step 1
Since the table is round, we can fix one person's position and arrange the remaining 14 people in 14! ways. Now, let's consider the cases where B sits next to A. We can treat A and B as a single entity, so we have 14 entities to arrange around the table. We can Show more…
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In how many ways can 15 people be seated at a round table if B refuses to sit next to A? What if B only refuses to sit on A's right?
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