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#51 2014-06-20 15:20:57

cooljackiec
Member
Registered: 2012-12-13
Posts: 160

Re: bases

Hmm 32/127 is what i found too

Also, anonimistefy, I got the 1st question. It was 30, not 32.


I see you have graph paper.
You must be plotting something
lol

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#52 2014-06-20 15:25:19

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: bases

Hm, how did you do it? Because I sure am getting 32 (the number is g0g0).


“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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#53 2014-06-20 15:25:28

cooljackiec
Member
Registered: 2012-12-13
Posts: 160

Re: bases

Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will 20! be the resulting product?

We have fraction m/n. I wrote the prime factorization of 20!, but I can't seem to find the largest possible value of m. Once I get the largest value of m, then I can just count the number of divisiors of m, but what do I do to get m.

Also:
Find the sum of all positive rational numbers that are less than 10 and that have denominator 30 when written in lowest terms.


I see you have graph paper.
You must be plotting something
lol

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#54 2014-06-20 15:30:25

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: bases

Hi

I'm getting 128 for the first one.

Also, look at post #52.


“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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#55 2014-06-20 19:54:38

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,265

Re: bases

That code seems to be slightly incomplete,

I will have you know that I am one of those rare people that can take anything apart and reassemble it using fewer parts. Minimalistic code is the hallmark of genius.


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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#56 2014-06-20 23:47:53

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: bases

That is all okay, but if things were a bit different, it could have missed a solution.

Last edited by anonimnystefy (2014-06-21 00:31:40)


“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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#57 2014-06-21 03:50:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,265

Re: bases

Why do you think that? The FindInstance command often looks like that. Small but powerful.


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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#58 2014-06-21 03:50:59

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: bases

Because it would miss the ones that do not begin with 0.251...


“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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#59 2014-06-21 03:53:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,265

Re: bases

Hmmm, is that not the point?


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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#60 2014-06-21 04:36:16

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: bases

No, because you want stuff like 0.07251, 0.0251 and such.

Last edited by anonimnystefy (2014-06-21 04:36:35)


“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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#61 2014-06-21 04:46:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,265

Re: bases

Hi;

Yes I see that now. I did not take that into consideration. If I got the right answer then today must be my lucky day.


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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#62 2014-06-21 04:57:28

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: bases

I think you did get the right answer. Good work!

What do you think about the first question from post #53.

Last edited by anonimnystefy (2014-06-21 04:57:53)


“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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#63 2014-06-21 05:05:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,265

Re: bases

I think it is rather easy to get the answer.


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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#64 2014-06-21 05:41:56

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: bases

Are you getting what I got?


“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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#65 2014-06-21 05:55:39

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,265

Re: bases

What are you getting (PM me)?


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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#66 2014-06-21 06:02:43

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: bases

I already posted my answer in post #54.


“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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#67 2014-06-21 06:08:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,265

Re: bases

Oh, I am sorry. That is the answer given.


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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#68 2014-06-21 06:11:28

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: bases

Hm?

Last edited by anonimnystefy (2014-06-21 06:12:02)


“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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#69 2014-06-21 06:13:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,265

Re: bases

So, I would presume that the probability that we are both wrong is less than 1%. Significantly less.

Why the Hm?


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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#70 2014-06-21 06:14:41

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: bases

I did not understand what you meant. You got the same answer?


“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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#71 2014-06-21 06:22:19

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,265

Re: bases

Yes I did.


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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#72 2014-06-21 06:29:43

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: bases

Ah, okay. Post #67 is confusing.


“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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#73 2014-06-21 06:57:44

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,265

Re: bases

Hmmm, do you see why the problem is easy?


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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#74 2014-06-21 07:12:47

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: bases

Well, I do not see why it is easy. I just know it was easy for me.


“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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#75 2014-06-21 07:14:24

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,265

Re: bases

I just know it was easy for me.

Hmmm.


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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