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#1 2011-05-11 07:00:44

reconsideryouranswer
Member
Registered: 2011-05-11
Posts: 172

Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

http://www.mathsisfun.com/puzzles/24-from-8-8-3-3-solution.html

Any of them with 8^(1/3), for example, do not count, because there are 1s being used
to make these fractional exponents, but the problem is to have only two 8s
and two 3s.  No other digits are to be used.


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#2 2011-05-11 13:14:45

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 87,248

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi reconsideryouranswer;

Welcome to the forum!

Some of that should have been written as:


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2011-05-17 18:07:18

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

I have amended the puzzle to include bobbym's formatting: 24 from 8833 Puzzle - Solution


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#4 2011-06-22 01:06:37

janelataille
Member
Registered: 2011-06-21
Posts: 2

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

new soln for 24 included below, plus numbers to 30 (so far)

0    3/8 – 3/8; 38 – 38; (3 – 3)/88; etc
1    3/3 × 8/8; 38/38; 83/83, etc
2    3/3 + 8/8
3    3!/3 + 8/8; 8 – 3 – ∛8
4    ∛8+∛8
5    √((8-3)(8-3))
6    3 + 3 × 8/8
7    3 + 3 + 8/8; 8 – 3 + ∛8
8    3 × 3 – 8/8; √(8×8) × 3/3
9    3 × 3 × 8/8; 8 + 3 – ∛8
10    3 × 3 + 8/8; (8 – 3) × ∛8
11    33 – 8 – 8
12    ∛(8 ×8) × 3
13    8 + 3 + ∛8
14    38 – 3 × 8
15    8 + 8 – 3/3
16    3(8 – 8/3)
17    8 + 8 + 3/3; 3 × 3! – 8/8
18    3 × 3! × 8/8
19    3 × 3! + 8/8
20    (√(8×8) – 3)!/3!
21    8(3 – 3/8)
22    8 + 8 + 3 + 3; 8 × 3 – ∛8
23    (8 – 3) ×3 + 8
24    (new) (8 × 3!)/ ∛8
25    8 + 8 + 3 × 3; (8 – 3)(8 – 3); (8 + 3) × 3 – 8
26    33 – 8/8; 8 × 3 + ∛8
27    33 – 8 + 8
28    33 + 8/8
29    8 × 3 + 8 – 3
30    (√(8×8) – 3 ) × 3!

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#5 2011-06-22 01:19:29

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 87,248

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi janelataille;

Welcome to the forum.

Please check your first answer for 26.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#6 2011-06-22 07:25:28

reconsideryouranswer
Member
Registered: 2011-05-11
Posts: 172

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

janelataille wrote:

new soln for 24 included below, plus numbers to 30 (so far)


11    33 – 8 – 8

26    33 – 8/8;

27    33 – 8 + 8

28    33 + 8/8


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#7 2011-06-24 01:52:28

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,848

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi janelataille,

Nice solutions!

Re #s 11, 26, 27 & 28: I'm sure you meant "3³" instead of "33", and that will give the correct answers.

If you haven't seen them already, there's a helpful group of symbols at the top of the page that you can copy and paste into posts.


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#8 2011-06-24 01:55:24

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,248

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi phrontister;

Howdy!

That does not help with #26


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#9 2011-06-24 01:58:12

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi phrontister,

Long time!
How are you?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#10 2011-06-24 01:59:25

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,848

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi Bobby,

Howdy back! smile

3³ - 8/8 = 27 - 1 = 26


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#11 2011-06-24 02:03:30

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,848

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi gAr,

I'm very well, thanks. Been away for a long time, and have only just got back. Thought I'd better check in to see what everyone was up to.


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#12 2011-06-24 02:08:28

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi phrontister,

Okay.
Have a good time!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#13 2011-06-24 02:38:08

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,848

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

The next ten:

31.    (8 × 8) - 33
32.    33 - (8 / 8)
33.    33 × 8 / 8
34.    33 + (8 / 8)
35.    3³ + (√8 × √8)
36.    38 – ³√8
37.    (3! × 3!) + (8 / 8)
38.    √38 × √38
39.    3(8 + 8 - 3)
40.    38 + ³√8


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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#14 2011-06-24 04:15:36

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#15 2011-06-24 04:30:23

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,248

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi phrontister;

You are right, I thought the game was to make 24!

Hi gAr;

A master formula! I did not know that.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#16 2011-06-24 04:40:31

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi bobbym,

I had read about such a formula using 4 4's.
Just modified that! Took some time to rearrange it correctly.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#17 2011-06-24 04:42:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,248

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi;

Do you remember where you read about the 4 4's ?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#18 2011-06-24 04:56:32

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

In some old puzzle book I think.
I do not remember the name of the author or title, it was some years ago.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#19 2011-06-24 05:32:36

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,248

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi;

I found something similar.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#20 2011-06-24 05:35:41

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi,

What is it?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#21 2011-06-24 05:39:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 87,248

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi;

I found a pdf where the guy analyzed it to death.

http://www.milefoot.com/about/presentat … rmania.pdf


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#22 2011-06-24 05:54:16

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Cool one!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#23 2011-06-24 15:51:52

reconsideryouranswer
Member
Registered: 2011-05-11
Posts: 172

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Can't the index for a root only belong to the
set of positive integers?


I am asking this, because in the digit number puzzles, I saw

(The index is shown as .4 as a portion of a solution.)


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#24 2011-06-24 18:45:08

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Some of these solutions to the 8, 8, 3, 3 puzzle do not count:

Hi reconsideryouranswer,

Though people mostly use only integers, I don't think there's anything wrong in it.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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