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 2004-01-13, 12:46 #1 michael   Dec 2003 Belgium 6510 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)/(3-1)=12 Your goal is to make 24. -michael
 2004-01-13, 21:14 #2 koal   Nov 2002 Vienna, Austria 4110 Posts [FONT=courier new]Do we have to use the decimal system?[/FONT]
 2004-01-13, 21:45 #3 michael   Dec 2003 Belgium 4116 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
 2004-01-14, 11:46 #4 michael   Dec 2003 Belgium 5·13 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
 2004-01-14, 13:42 #5 koal   Nov 2002 Vienna, Austria 1010012 Posts [FONT=courier new] Then it must be the something rational which gives the whole number (24) in the latter [/FONT]
 2004-01-14, 13:53 #6 michael   Dec 2003 Belgium 5·13 Posts Could it be that easy? Last fiddled with by michael on 2004-01-14 at 13:53
 2004-01-14, 14:22 #7 Uncwilly 6809 > 6502     """"""""""""""""""" Aug 2003 101×103 Posts 10,891 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?
 2004-01-14, 14:33 #8 michael   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
 2004-01-14, 15:58 #9 Uncwilly 6809 > 6502     """"""""""""""""""" Aug 2003 101×103 Posts 2A8B16 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.
 2004-01-14, 16:20 #10 michael   Dec 2003 Belgium 5·13 Posts No those things aren't allowed. -michael
 2004-01-15, 02:02 #11 nfortino     Nov 2003 3×5×11 Posts Realized my solution was illegal Last fiddled with by nfortino on 2004-01-15 at 02:05

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