How many ways can 5 friends be arranged around a circular dinner table? Choose the correct choice.
A) A)24
B) B)48
C) C)96
D) D)120
E) E)720
The number of arrangements of n distinct objects in a row is given by n!n!.   The number of arrangements of n distinct objects in a circle is given by (n−1)!(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:   n!n=(n−1)!n!n=(n−1)!.   So, the answer is (5 - 1)= 
<gadget id="calculator">(5 - 1)</gadget>
<output>4</output>
4!= 24.   24nswer: 24.
<result>A</result>
How many ways can 5 friends be arranged around a circular dinner table?