1) Which of the following best describes a circular permutation? a) An arrangement of objects in a line where order matters. b) An arrangement of objects in a circle where rotations are considered the same. c) An arrangement where repetition of objects is allowed. d) An arrangement of objects where order does not matter 2) During a class party, 7 friends are sitting around a round table. In how many distinct ways can they be arranged if rotations are considered the same?If you see your friend on the cast on his leg, you can infer that… a) 720 b) 5,040 c) 6,480 d) 120 3) Four different trophies are to be displayed around a circular stand. How many unique arrangements are possible? a) 6 b) 12 c) 24 d) 18 4) Eight people are taking a group photo arranged in a circle. If two best friends must sit together and one person refuses to sit beside them, in how many ways can they be arranged? a) 720 b) 1,200 c) 1,080 d) 1,440 5) Five different colored lanterns are to be hung around a circular gazebo. If two specific lanterns must not hang next to each other, how many possible arrangements are there? a) 18 b) 20 c) 12 d) 24

Circular Permutations

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