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Q 1/5
Score 0
How many ways can 5 people sit around a circular table if two seating arrangements are considered the same when everyone has the same neighbors?
30
120
24
60
12
Q 2/5
Score 0
In 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?
30
5040
720
2520
40320
5 questions
Q.
How many ways can 5 people sit around a circular table if two seating arrangements are considered the same when everyone has the same neighbors?
1
30 sec
Q.
In 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?
2
30 sec
Q.
A 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?
3
30 sec
Q.
Is the total number of ways in which n distinct objects can be arranged around a fixed circle?
