Free Practice Question
PS · Problem Solving
505-555
Combinations
During a gathering, 6 individuals are to be arranged around a round table. Two arrangements are deemed distinct only when the relative positions of the individuals differ. How many unique seating arrangements can be made for this group?
Answer Choices
Correct answer marked belowA
6
B
30
120
Correct
D
720
E
5040
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Explanation
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Official Explanation
Official
In this scenario, we are dealing with a circular arrangement of 6 distinct individuals. The formula for arranging n distinct objects in a line is . However, for circular arrangements, the formula is . This is…
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Comments
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K
KaiApr 18, 2024
Thank for sharing!!!
D
denizJan 14, 2025
Thank for sharing!
What this question tests
What it tests
Whether you can count arrangements and selections correctly — permutations vs. combinations.
Common trap
Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.
Details
Difficulty
505-555
Type
PS
Category