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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

#379. If the coefficients of x[sup]2[/sup] and x[sup]3[/sup] in the expansion of

are the same, what is the value of 'a'?

Character is who you are when no one is looking.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

#380. Find the sum of all the three digit numbers divisible by 7.

#381. If the p[sup]th[/sup], q[sup]th[/sup], and r[sup]th[/sup] terms of an Arithmetic Progression are a, b, and c respectively, what is the value of

#382. Find the sum

#383. Find the sum of the series

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,258

Hi ganesh;

Answer given for #372 is not correct so here is mine.

*Last edited by bobbym (2009-07-17 15:04:49)*

**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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**BO****Member**- Registered: 2010-05-16
- Posts: 9

*Last edited by BO (2010-05-17 19:15:12)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,258

**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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi,

I request I may be given some time to solve the problems.

Character is who you are when no one is looking.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

The solution to #372 is given you. I am sorry.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,258

Hi ganesh;

That is interesting for #372. Do you have a solution that I could look at? I have checked my answer by computer and it agrees with my answer of 2 not 6. Could you show me where I am going wrong? If you have the time. Thanks.

**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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**BO****Member**- Registered: 2010-05-16
- Posts: 9

I am also getting 2.

sorry about the bad latexing.

*Last edited by BO (2010-05-18 06:42:50)*

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**BO****Member**- Registered: 2010-05-16
- Posts: 9

*Last edited by BO (2010-05-18 06:38:34)*

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

The solution to 377 is perfect. Well done, BO.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,258

Hi;

Here is one that got missed!

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**smadhurbain@yahoo.in****Member**- Registered: 2010-11-14
- Posts: 2

divide 34 into two parts in such way that 4/7 of one part is equal to 2/5 of the other

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

Hi Bobby,

*Last edited by phrontister (2010-11-14 23:44:03)*

"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: 87,258

Hi phrontister;

How are you! You are right! I missed the last part of the question.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,258

Hi smadhurbain@yahoo.in;

Welcome to the forum. You really should change your username. It is a security weakness.

In regards to your future questions. Please post them in Help Me. This thread is for Ganesh's puzzles.

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 Bobby,

How are you!

Very well, thanks, but waaaaaay too busy with work atm (and have been for ages) to do much other than that. Hardly got time to scratch, and forum participation has been relegated to the back burner.

On a brighter note (and you may disagree with that), last week I met yet another mathematical physicist - this time through work - and we chatted puzzles. Of course I couldn't resist giving him 3 of my favourite puzzles (you know which - NOHOW, My YOB & Callous Count Crewell), plus another toughie that I'll post one day. He said he'd do them - or maybe his son who's doing maths at uni and likes maths puzzles will give 'em a go - but already 4 days have passed and I've received nary a word from either about any.

Oh well...

"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: 87,258

Hi phrontister;

Sorry. to hear that you will not be around. The mean part of me says what chance does a physi guy or his offspring have of knocking off one of your puzzles!

Also if you are going to keep running in to them people, I would get another job!

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,258

Hi ganesh;

Back to the problems!

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

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

hi ganesh

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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

hi ganesh

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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

hi ganesh

*Last edited by anonimnystefy (2011-08-25 08:35:39)*

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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

hi ganesh

there are a lot of unsolved puzzles here:

*Last edited by anonimnystefy (2011-08-25 10:58:40)*

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

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,537

Hi anonimnystefy,

Thanks for replying the brain teasers. It would take a long time to check the veracity of all the solutions. I shall reply as soon as I can. Please give me enough time!

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,258

Hi ganesh;

If you have time can you check from post #464 on. I am sorry for some cross chatter that when on at that point. I believe that phrontister's solution is better than mine.

Also, maybe the remaining unanswered questions could be brought to the bottom.

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

Combinatorics is Algebra and Algebra is Combinatorics.

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