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**mathaholic****Member**- From: Juliania
- Registered: 2012-11-29
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"Double the fun, double the thrill, double the coolness" - Julianthewiki

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

*Last edited by phrontister (2013-05-13 05:36:05)*

"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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,744

**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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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
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StringCases[ToString[N[ChampernowneNumber[], 1234]], "1234"]** =1234**

*Last edited by phrontister (2013-05-14 02:29:47)*

"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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**mathaholic****Member**- From: Juliania
- Registered: 2012-11-29
- Posts: 2,845
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"Double the fun, double the thrill, double the coolness" - Julianthewiki

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

First[Flatten[StringPosition[ToString[N[Pi, 13!!]], "1234"]]]

StringTake[ToString[N[Pi, % + 2]], -4]** =1234**

StringTake[ToString[N[Pi, FromDigits[{1, 3, 4!!, 1, 3 - 2}]]], -4]** =1234**

If[StringMatchQ[ToString[N[Pi, 12!!]], "*1234*"], FromDigits[Table[i, {i, 4}]]]** =1234**

*Last edited by phrontister (2013-05-14 17:11:01)*

"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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**mathaholic****Member**- From: Juliania
- Registered: 2012-11-29
- Posts: 2,845
- Website

"Double the fun, double the thrill, double the coolness" - Julianthewiki

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

Find the four 3-digit numbers and the products as indicated in this arithmetic sum, where

- each letter stands for a single digit,

- the same letter stands for the same digit, and

- no values are shared with other letters.

4 x abc =

+ 3 x cba =

- 2 x cab =

+ 1 x dba =

-----

1234

===

Clue: Letter values are from the digits 1, 2, 3 and 4.

*Last edited by phrontister (2013-05-14 21:20:02)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,744

Hi;

**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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**ElainaVW****Member**- Registered: 2013-04-29
- Posts: 291

I solved it!

*Last edited by ElainaVW (2013-05-14 22:52:49)*

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

Hi Elaina & Bobby,

Correct!

Not quite the full answer to my two questions, but I know what you mean. I don't know how Teacher Bob would have marked your answers, but I give you a good pass.

And yes, the puzzle has a unique solution.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,744

You wanted her solution, did you not?

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

True, but also the four 3-digit numbers. No problem, though...just messing around.

Those 3-digit numbers contain just the digits as per the thread, so I'd been hoping that their solutions would have shown up in the answers too. Maybe I could have worded my puzzle better.

Did you have a look at my M codes in post #31? I had some fun getting those to work, and needed help from the Help files.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,744

Hi phrontister;

No I didn't, I forgot all about that game. I will look at them a little later because I have to get offline now. See you then.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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

Ok...ciao for niao. Bed for me, anyway; so good night, and see you later.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,526

Hi phro

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,744

Hi;

That code is working!

This is a violation of the rules but there is a 1234 located at position

of the constant e. I smell a new Dan Brown book!

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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

Hi stefy,

Correctamundo!

Hi Bobby,

How do I test that? Also, I've never used e, and I don't know what it does or what it's for.

*Last edited by phrontister (2013-05-15 11:26:21)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,744

Hi phrontister;

In M talk e is Exp[1]. It is the most important constant in mathematics and more common then pi.

Test that power tower? Not likely!

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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

Hi Elaine, Bobby and stefy,

How did you solve my alphametic? Pencil + paper + logic, maybe? (I didn't...I used Excel)

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,744

Takes a little time with pencil and paper. There are only 24 possibilities to consider.

There is a M command that does this easily.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

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

Oo...hint?

Czeched out 'e' on Wikipedia and it's all double Dutch to me. Might as well have been written in Greek! (which it probably has, in a Greek W version...I keep forgetting that English isn't the only language on the globe).

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,744

Hi;

I hate to give this up! No one seems to know about the mightiest command in M.

[removed by admin, breach of national security.]

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

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

Copied and tested. Thanks...I'd better look at it next.

I think I know what you mean with 'e'...and the same would apply to any position >4, then.

I originally only thought of the decimal approximation, not the infinite series.

*Last edited by phrontister (2013-05-15 11:57:20)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,744

That was a joke. I have no idea what is at position

Do some reading on that command, it is well worth it.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**