20040113, 12:46  #1 
Dec 2003
Belgium
41_{16} Posts 
playing with numbers
Ok, here an easy one for starters:
1, 3, 4, 6 make 24 restrictions: you MUST use every number EXACT once. you may only use +(addition)  (substraction) * (multiplication) /(division) without restrictions on quantity (so no powers or other mathematical functions). numbers may not be combined e.g 1 and 3 cannot make 13 or 31. example: (4*6)/(31)=12 Your goal is to make 24. michael 
20040113, 21:14  #2 
Nov 2002
Vienna, Austria
41 Posts 
[FONT=courier new]Do we have to use the decimal system?[/FONT] 
20040113, 21:45  #3 
Dec 2003
Belgium
5·13 Posts 
Well the question is posed for base 10...but since the numbers are smaller than 7, you may in addition try base 7 and up if you wish... hehe
michael 
20040114, 11:46  #4 
Dec 2003
Belgium
1000001_{2} Posts 
I've had pm's me with a hexadecimal solution. Congrats on finding those, though that wasn't too tough.
I have a solution in base 10, and that was how i initially intended my question michael 
20040114, 13:42  #5 
Nov 2002
Vienna, Austria
29_{16} Posts 
[FONT=courier new] Then it must be the something rational which gives the whole number (24) in the latter [/FONT] 
20040114, 13:53  #6 
Dec 2003
Belgium
5·13 Posts 
Could it be that easy?
Last fiddled with by michael on 20040114 at 13:53 
20040114, 14:22  #7 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
47·199 Posts 
Are we correct in assuming that the digit "0" is excluded from use and that the decimal point "," (or "." for the yanks) is also not used?

20040114, 14:33  #8 
Dec 2003
Belgium
5·13 Posts 
I assume you ask weither fractions are allowed.
Nothing forbids you to do 1*3*6=18 which is exactly the same as doing 6/(1/3)=18 only there you have 1/3=0.333333333333... as a subresult. Use of devision is allowed so consequently also use of fractions. michael 
20040114, 15:58  #9 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
47×199 Posts 
What I am asking is:
Is 10 not equal to using 1? I know spliting hairs. Also, is .1 or .6 allowed instead of 1 or 6? I am just looking for a way around the rules. 
20040114, 16:20  #10 
Dec 2003
Belgium
65_{10} Posts 
No those things aren't allowed.
michael 
20040115, 02:02  #11 
Nov 2003
3×5×11 Posts 
Realized my solution was illegal
Last fiddled with by nfortino on 20040115 at 02:05 
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