Just Another Combinatorics problem

Probability Level 2

In how many ways can you arrange 30 people on a ferris wheel with 30 seats?

27 ! 27! 29 ! 29! 30 ! 30! 28 ! 28!

Achal Jain by Achal Jain , 19, India

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2 solutions

Arulx Z
Mar 10, 2016

There are 30 ! 30! way to seat the people. However, there are 30 rotations which do not count distinct. Hence the answer is 30 ! 30 = 29 ! \frac{30!}{30}=29! .

3 Helpful 0 Interesting 0 Brilliant 1 Confused
Sudoku Subbu
Jun 26, 2016

This is a circular permutation so the number of ways of arranging 30 elements is ( 30 − 1 ) ! = 29 ! (30-1)! = 29!

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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