CA Foundation · Quantitative Aptitude · Seating Arrangements
In how many ways can 6 persons be seated around a circular table if two particular persons must always sit next to each other?
There are 48 arrangements. Treat the two persons who must sit together as one unit, giving five units around a circle, which can be arranged in 4! = 24 ways. The pair can swap places internally in 2 ways, so the total is 24 times 2, which equals 48.
- A24
- B48Correct
- C120
- D240
Explanation
Treat the two persons as one unit, so there are 5 units in a circle, arranged in (5-1)! = 24 ways. The two persons can swap places in 2 ways. Total = 24 x 2 = 48. The value 240 results from using 5! instead of 4! for the circle.
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