CA Foundation · Quantitative Aptitude · Seating Arrangements
In how many ways can 8 persons be seated around a circular table so that two particular persons, Kiran and Lata, do NOT sit next to each other?
The answer is 3600. Total circular arrangements of 8 people are 7! = 5040. Arrangements with Kiran and Lata together are 6! x 2 = 1440. Subtracting gives 3600. Forgetting the two internal orders of the pair would give 4320, which is wrong.
- A1440
- B5040
- C3600Correct
- D4320
Explanation
Total circular arrangements = 7! = 5040. When Kiran and Lata are together, treat them as one unit: 6! x 2 = 1440. Not together = 5040 - 1440 = 3600. The value 4320 comes from subtracting only 6! = 720 and forgetting the 2 internal orders.
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