CA Foundation · Quantitative Aptitude · Seating Arrangements
Three boys and three girls are to be seated around a circular table so that all three girls sit together. In how many ways can this be done?
There are 36 ways. Group the three girls as one block, so with the three boys there are four units around the table, arranged in 3! = 6 ways. The girls can be ordered within the block in 3! = 6 ways, giving 6 x 6 = 36.
- A36Correct
- B72
- C120
- D144
Explanation
Treat the three girls as one block. The block and 3 boys make 4 units in a circle: (4-1)! = 6 ways. The girls can be arranged inside the block in 3! = 6 ways. Total = 6 x 6 = 36. Using 4! for the units gives 144, which wrongly treats the table as a line of units.
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