SOLUTION: In how many ways can 4 cars be parked in 5 distinct places arranged in a circle?

Algebra.Com
Question 1208395: In how many ways can 4 cars be parked in 5 distinct places arranged in a circle?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
In how many ways can 4 cars be parked in 5 distinct places arranged in a circle?
~~~~~~~~~~~~~~~~~~~~~~~~~~~

So, we have one vacant place and 4 occupied places.


If you mean circular permutations, then we may assume that the vacant place is in position "North",

or "12 o'clock". Then 4 other positions are occupied by 4 cars, and we should calculate

the number of placements of 4 objects in 4 positions. It is precisely the number of permutations 
of 4 objects, which is 4! = 24.    ANSWER.

Solved.



RELATED QUESTIONS

1) In how many ways can 4 cars be parked consecutively in 5 distinct places arranged in a (answered by ikleyn)
In how many distinct ways can the TORONTO be... (answered by ewatrrr,Theo)
In a row of 10 parking spaces in a parking lot how many ways can 4 cars be... (answered by rfer)
In how many ways can 5 different cars be parked in a numbered circular parking lot such... (answered by ikleyn)
How many distinct ways can the letters in the word ITEMS be arranged? How many distinct (answered by addingup)
In how many distinct ways can the word INDEPENDENCE be... (answered by AnlytcPhil)
In how many distinct ways can the letters of the word ROBBER be... (answered by Timnewman)
In how many distinct ways can the letters of the word SEEDS be... (answered by fractalier)
In how many distinct ways can the letters of the world ATLANTA be arranged? (answered by Edwin McCravy,MathLover1)