playing with numbers

michael · 2004-01-13, 12:46

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

koal · 2004-01-13, 21:14

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

michael · 2004-01-13, 21:45

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

michael · 2004-01-14, 11:46

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

koal · 2004-01-14, 13:42

[FONT=courier new]
Then it must be the something rational which gives the whole number (24) in the latter
[/FONT]

michael · 2004-01-14, 13:53

Could it be that easy?

Uncwilly · 2004-01-14, 14:22

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?

michael · 2004-01-14, 14:33

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

Uncwilly · 2004-01-14, 15:58

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.

michael · 2004-01-14, 16:20

No those things aren't allowed.

-michael

nfortino · 2004-01-15, 02:02

Realized my solution was illegal

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

2004-01-14, 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

2004-01-15, 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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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, 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 136=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