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Old 2004-01-13, 12:46   #1
michael
 
Dec 2003
Belgium

5·13 Posts
Default 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
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Old 2004-01-13, 21:14   #2
koal
 
Nov 2002
Vienna, Austria

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[FONT=courier new]Do we have to use the decimal system?[/FONT]

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Old 2004-01-13, 21:45   #3
michael
 
Dec 2003
Belgium

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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
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Old 2004-01-14, 11:46   #4
michael
 
Dec 2003
Belgium

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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
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Old 2004-01-14, 13:42   #5
koal
 
Nov 2002
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[FONT=courier new]
Then it must be the something rational which gives the whole number (24) in the latter
[/FONT]

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Old 2004-01-14, 13:53   #6
michael
 
Dec 2003
Belgium

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Could it be that easy?


Last fiddled with by michael on 2004-01-14 at 13:53
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Old 2004-01-14, 14:22   #7
Uncwilly
6809 > 6502
 
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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?

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Old 2004-01-14, 14:33   #8
michael
 
Dec 2003
Belgium

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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
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Old 2004-01-14, 15:58   #9
Uncwilly
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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.
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Old 2004-01-14, 16:20   #10
michael
 
Dec 2003
Belgium

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No those things aren't allowed.

-michael
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Old 2004-01-15, 02:02   #11
nfortino
 
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Realized my solution was illegal

Last fiddled with by nfortino on 2004-01-15 at 02:05
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