SOLUTION: A dinner party has 7 couples. The hostess wishes to seat all the guests around a circular table alternating males and females. How many differnt seating arrangements are there? Ass

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Question 437379: A dinner party has 7 couples. The hostess wishes to seat all the guests around a circular table alternating males and females. How many differnt seating arrangements are there? Assume that there is no special seat around the table.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
If we seat the ladies first in alternate seats in a circle
nPr=7P7/7
=7!/7
=5040/7
=720
.
7! for the men
=5040
.
720*5040=3,628,800 different seating arrangements are possible.
.
Ed