# Thread: possble seating plans

1. ## possble seating plans

Seems simple one,but I have conflict on this with one of my friend.

There are 5 chairs in a row, and three people. In how many ways can
you place the people on the chairs? (each person must occupy exactly
one chair, so that two chairs will remain free).

My answer p(5,3)

2. If you seat the people one at a time, the first person will have 5 choices, the second will have 4, and the third will have 3 choices. So the answer is 5*4*3=60.

So if by p(5,3), you mean $_3P_5=\frac{5!}{(5-3)!}$, your answer is correct.

- Hollywood