Three friends sit in a row. In how many different orders can they be seated?
Correct answer: B. six
- A. three
- B. six
- C. nine
- D. twelve
Explanation
The number of arrangements of three distinct people is 3 factorial, that is 3 multiplied by 2 multiplied by 1, which gives 6. For four people it would rise to 24, since factorials grow very quickly. Seating puzzles often turn on this counting principle.
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About Seating Arrangements
Seating arrangement problems place people or objects in a line, circle, row or multiple rows according to positional clues. They require handling adjacency, left and right, facing directions, opposite seats, fixed positions and relative order, with circular arrangements differing because rotation does not create a new arrangement.
Practise Seating Arrangements
21 free Seating Arrangements MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
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Analytical and Logical Reasoning is on 27 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
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