Circular permutations
Quiz by GERALD ONG
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5 questions
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- Q1How many ways can 5 people sit around a circular table if two seating arrangements are considered the same when everyone has the same neighbors?12024601230s
- Q2In a circular race track, 8 athletes are starting the race at equidistant points along the track. If the starting positions are numbered 1 through 8 in a clockwise direction, in how many different ways can the athletes choose their starting positions so that no athlete starts at position 1?504072025204032030s
- Q3A necklace is to be made by stringing together 5 different colored beads. If the arrangement of beads is considered identical when it can be rotated or flipped, how many distinct necklaces can be created?24601201230s
- Q4Is the total number of ways in which n distinct objects can be arranged around a fixed circle?Distinguishable PermutationsCircular PermutationPermutationsCombinations30s
- Q5Formula for circular permutation?(n - 2)!(n - 3)!n!( n - 1)!30s