GCEFurther MathematicsPermutations and Combinations2023

Eight people are to be seated at a round table. In how many distinct ways can they be arranged?

A5040CORRECT
B8064
C40320
D64
AI
Toaster Teacher
Why the answer is A, and why the others tempt you.
For circular arrangements, the number of distinct arrangements of n people is (n−1)!. Here, (8−1)! = 7! = 5040. Option C (40320 = 8!) is the error of treating it as a linear arrangement.
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