# Five people are to dine at a rectangular table but the host cannot decide on a seating arrangement in how many ways can the guests be seated?

##### 1 Answer

Feb 14, 2016

#### Explanation:

Arbitrarily calling one side of the table the "First Side" and labeling the others "Second", "Third" and "Fourth".

There is

and

and

and

and

and

for a total of

Arranging the 5 guests (starting by seating with the left-most seat on the "First Side") can be done in

This gives