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24 May 2016, 14:41
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Could someone please explain to me the solution to this problem? I would really appreciate that you would detail your explanation of the solution step by step.
In how many different relative positions can 10 people sit at a round table?
Thank you so much.
In how many different relative positions can 10 people sit at a round table?
Thank you so much.
24 May 2016, 16:58
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10 !/10 = 9! ( ten factorial divided by 10) Answer 9 factorial. Formula:- if there are n objects ( to account for the fact that they are in a circle) divided by n. answer (n-1)!
n!/n= (n-1)!
n!/n= (n-1)!
25 May 2016, 09:02
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The number of arrangements of n distinct objects in a row is given by \(n!\).
The number of arrangements of n distinct objects in a circle is given by \((n-1)!\).
The difference between placement in a row and that in a circle is following: if we shift all object by one position, we will get different arrangement in a row but the same relative arrangement in a circle. So, for the number of circular arrangements of n objects we have:
\(\frac{n!}{n} = (n-1)!\).
Check other Arrangements in a Row and around a Table questions in our Special Questions Directory.
Theory on Combinations: math-combinatorics-87345.html
DS questions on Combinations: search.php?search_id=tag&tag_id=31
PS questions on Combinations: search.php?search_id=tag&tag_id=52
Tough and tricky questions on Combinations: hardest-area-questions-probability-and-combinations-101361.html
DS questions on Combinations: search.php?search_id=tag&tag_id=31
PS questions on Combinations: search.php?search_id=tag&tag_id=52
Tough and tricky questions on Combinations: hardest-area-questions-probability-and-combinations-101361.html
