Lowest score impossible to get with 3 darts.

Originally posted by Just-Think

Originally posted by andy1033
reply to post by Ian McLean

 

143 = 51(triple 19, bull, double 18)

166 or 172.

That would be correct if three times 19 would be 51 yes

triple 19 + bull + double 18 = 143.

I reckon it is 166 or 172.

reply to post by BcnDiamond


Yes I thought of that pesky triple 19 just after I posted.

Hmm, trying to put this together without a mod 2 or mod 3 test...

Originally posted by andy1033
reply to post by Ian McLean

 

143 = (triple 19, bull, double 18)

166 or 172.

[edit on 1/23/2009 by andy1033]

Forget 143 you have multiple ways of hitting that.
Btw 166 is close but incorrect.

Originally posted by BcnDiamond
You all need to disregard the start from 301 or 501.

Ian you gave some reason, and it didn't really matter you started from 301. But 143 is incorrect. It's actually the first number most people come up with. But 60+57+26 = 143.

You don't need to end with a double. Anything goes.

Do you have to score with the first two darts ? If not the asnwer is 23 ?

Originally posted by Just-Think

Originally posted by BcnDiamond
You all need to disregard the start from 301 or 501.

Ian you gave some reason, and it didn't really matter you started from 301. But 143 is incorrect. It's actually the first number most people come up with. But 60+57+26 = 143.

You don't need to end with a double. Anything goes.

Do you have to score with the first two darts ? If not the asnwer is 23 ?

yep 3 scoring darts. I have tried but cannot get lower than 166. Can anyone get lower combination than 166?

3 darts can get all scores from 1 - 60
and
3 darts can get all scores from 61 - 120
leaving one dart
so lowest score one dart cant get is 43 after considering treble 19 18 17........
so 163

166 = ?????
165 = triple 20, triple 20, triple 15
164 = triple 19, triple 19, bull
163 = ????

is it 163

oh damn you got it before me. lol. Nice thread

[edit on 1/23/2009 by andy1033]

After reconsidering, the answer has to be;
1 max score
2 max score
3 first prime above 43

Correct ?

I think it's 162

not 100% sure but can't find any combos smaller just yet

edit to add - 159 is a possibility

[edit on 23-1-2009 by rightuos]

reply to post by rightuos


162 = 51+51+60

the answer is 163.

Originally posted by tetsuo111
3 darts can get all scores from 1 - 60
and
3 darts can get all scores from 61 - 120
leaving one dart
so lowest score one dart cant get is 43 after considering treble 19 18 17........
so 163

GG, and with an explanation.

For other people figuring it out in their head:

Long:
All even numbers from 140 up to 160 can be achieved by 120 + a double.
Now all odds can be achieved up to 157 by T20+T19+Double.
So we know anything berlow 158 is possible.

159 = T20+T20+T13.
By incrementing the last treble you eliminate 162, 165, 168, 171, 174, 177, 180.
So now we have narrowed it down to 161,163,164,166,167,169,170,172,173,175,176,178,179.

The bullseye is worth 50. You can see that 161=T20+T17+50.
BY incrementing the last treble, you eliminate 164,167,170.

Now we have 163 unsolved and regular bulls will be of no help because 120+25=145.

Therefore the lowest impossible score is 163.


Shorter:

You can't throw more than 120 with 2, so the lowest possible needed for the first, second or last dart is 43. Then you can try to compensate with 2, 5, 7, 8, 11, 14, 17.
The other two darts combined can only be 120, (2) 117 (5), 114 (7), 111(8), 108(11), 105,(14) 102(17).

reply to post by andy1033

I see my brain is still waking, need more coffee

Does this work out or is it luck.

There are 43 possible numbers you can throw with one dart.
60-43=17.

3x60=180 ; 180-17=163.

Originally posted by BcnDiamond
Does this work out or is it luck.

There are 43 possible numbers you can throw with one dart.
60-43=17.

3x60=180 ; 180-17=163.

Cant u check that by adding an extra section to the board for number 21 ?

the answer is 159.
the easy way to work this out is to use an old tool i like to call google lol
go here www.darts-online.co.uk...
Ps: i did try to work it out but got board sorry
Mr_High

a reply to: Anonymous ATS

a reply to: BcnDiamond
Why is this thread in this forum?