need explanation!!!???

• May 5th 2006, 08:00 AM
crazy_gal108
need explanation!!!???
2. A hockey team consists of 17 players (9 forwards, 6 defensemen and 2 goalies). The starting line-up consists of 3 forwards, 2 defensemen and 1 goalie. Explain why the number of ways the players can be selected is less than if they are selected to specific positions.
• May 5th 2006, 08:46 AM
ThePerfectHacker
Quote:

Originally Posted by crazy_gal108
2. A hockey team consists of 17 players (9 forwards, 6 defensemen and 2 goalies). The starting line-up consists of 3 forwards, 2 defensemen and 1 goalie. Explain why the number of ways the players can be selected is less than if they are selected to specific positions.

I do not really understand your question but it seems to me that they want you to answer that in the case where order is not important a less than in the case where order is important.
• May 5th 2006, 01:20 PM
MathGuru
because a forward cannot play defense et cetera so you have fewer possibilities than if it did not matter.