Chair them All
Probability
Level
3
If there are 'N' chairs arranged in a circle occupied by 'N' people.In how many different ways can they sit, taking into consideration that every person can sit in 2 ways i.e. facing inside the circle and outside the circle.
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1 solution
let there be N chairs in a circle then there are (N-1)! ways in which they can be arranged. now every person can sit in 2 ways so 2^N ways for N people. 2^N ways for 1 arrangement. 2^N (N-1)! ways for (N-1)! arrangements.