Someone shot 10 arrows at a target with 10 concentric rings, each being worth a different integer number of points from 1 to 10. How many different ways are there of scoring 10 points by doing this? (Note that not all the arrows have to hit the target and that order matters; 6 first then 4 is different from 4 first then 6. Also note that two or more arrows may hit the same ring.)

(In reply to Answer by Old Original Oskar!)

I don't know if multiple arrows may hit one ring.  Can they?

Otherwise there are other possibilities such as (5,5) for two arrows.

 

Does it matter if it is the first, second, etc.. arrow that hits the target or is it just the order of the hits that matters?

Otherwise there are only 4! ways of getting 10 with 4 arrows.

 

-Jer

Posted by Jer on 2004-09-21 13:21:22