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 More Archery Practice (Posted on 2004-09-21)
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.)

 See The Solution Submitted by Gamer Rating: 3.0000 (5 votes)

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 re(3): Intuitive Representation IMHO (spoilers) | Comment 12 of 15 |
(In reply to re(2): Intuitive Representation IMHO (spoilers) by nikki)

You can think of my solution as having proved your statement:

"So for combinations with replacement, the formula for 11 choose 9 is (11+9-1)!/[9!*(11-1)!]."

I guess if you already know the formula, you stop there.

 Posted by David Shin on 2004-09-24 10:05:37

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