In a garden, seven flowers are to be arranged around a circular walk. Two arrangements of the flowers are considered different only when the positions of the flowers are different relative to each other. What is the total number of different possible arrangements of the flowers?
I obtained this question from
https://www.gmathacks.com/quant-topics/p ... ircle.html
but in my view the answer given is wrong.
The answer given is 720,
but shouldn't it be 360,
Solution:
n = 7
We can arrange this circular permutation in (n-1)! number of ways
Hence 6!
since the flowers are identical and will be the same from clockwise or counter-clockwise.
Answer is 6! / 2 = 360
Experts, please share your valued views.
I obtained this question from
https://www.gmathacks.com/quant-topics/p ... ircle.html
but in my view the answer given is wrong.
The answer given is 720,
but shouldn't it be 360,
Solution:
n = 7
We can arrange this circular permutation in (n-1)! number of ways
Hence 6!
since the flowers are identical and will be the same from clockwise or counter-clockwise.
Answer is 6! / 2 = 360
Experts, please share your valued views.
Whether you think you can or can't, you're right.
- Henry Ford
- Henry Ford
