# Permutations word problem check

• March 30th 2011, 04:07 PM
BobRoss
Permutations word problem check
In a nine team volleyball league, each team plays every other team twice, once at home and once away. How many games will be scheduled?

To solve this do I simply use the nPr formula where n=9 and r=2 ?
9P2=72

I'm not sure if this is right or not though. If it isn't I'd appreciate it if someone could show me how to do it correctly.
• March 30th 2011, 05:04 PM
Plato
Look it is very simple.
If we have $n$ teams then there are $(n\times n) -n$ ways for $n$ teams to play each other in the order (Home, Away).