Eight people sit at a round table. Anjali and Bhavesh must sit next to each other, but Charu must not sit next to Anjali. How many seatings are possible?

Question

Accepted Answer

1200. Anjali–Bhavesh as a block: 7 units round a table, (7-1)!×2=1440. Bad cases have Charu on Anjali's other side: the 3-block C-A-B or B-A-C with 5 others, (6-1)!×2=240. Answer 1440-240=1200.

Eight people sit at a round table. Anjali and Bhavesh must sit next to each other, but Charu must not sit next to Anjali. How many seatings are possible?

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