Darts

[peterbaz]

hi folks a recent quiz question cropped up at the local pub quiz last week can anyone give me the answer and a simple way of getting it ....... how many different combinations are there of scoring if all three darts score ?

[Prudie]

A single dart could score 1-20,22,24,26,28,30,32,34,36,38,40,21,27,33,39, 42, 45, 48, 51, 54, 57, 60 plus 25 and 50. That's 43 possible outcomes from 1 dart so I'd have thought the total is 43 ^ 3 = 79507
But that could be a load of bull

[-Talbot-]

You have put this in sport..that alone will get you into trouble with some posters.

I'm not actually sure of the question.

[Prudie]

you can't read what I've put then divebuddy, i've listed all those you have said and not retyped the duplications.

[Prudie]

That's OK divebuddy x. As i said i could be completely on the wrong track and it may not be the answer he wants at all. perhaps if you re-posted in science some more knowledgeable abers would provide an essay of an answer
:-)

[-Talbot-]

Does peter mean how many different cominations ie 3 singles, a double and two singles etc, etc.

Or how many different scores?

[-Talbot-]

by scores I actually mean wot Prudie typed in the first post.

[jim360]

I don't think prudie;s answer is right, at least partly on the somewhat shaky grounds that no-one can be expected to know that number off the top of their head, and you shouldn't be able to use a calculator in a pub quiz...

More to the point, it's an overcounting, eg getting a 20, 20, 19 is the same from the combinations point of view as getting a 19 then a 20 then another 20. To sort out that overcounting is certainly beyond the range of any pub quiz.

So I think the question is probably, "what are the possible total scores from throwing three darts, all of which score at least one point?" In which case the answer is 180 minus a few (since the max possible score is 180, but not all totals below 180 are possible).

[sandyRoe]

There are 62 different scores you could make with each dart. 62x62x62=238328 combinations

[-Talbot-]

by scores I actually mean wot Prudie errr Jim typed in the 10th post. ;0)

[Prudie]

So peter can you remember what the answer was as maybe that would clarify the question?

[Prudie]

I agree methyl that makes more sense and is somewhat similar to what numbers can't you check out on with 3 darts but OP specifically mentions combinations which is not the same.

[peterbaz]

sorry for all the confusion folks the question was .....to the nearest thousand how many different scoring combinations are there on a dart board if all three darts score and the exact answer was 41,664 the answer was 42 so the argument was how do you work that one out ?

[jim360]

Hi -- thanks for the clarification. A bit too early for thinking so I will look at the problem later.