Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #26 2013-02-20 08:03:25

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Combinations 6 of 49 without the results with numbers in sequence

Where does what come from?

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
The knowledge of some things as a function of age is a delta function.

Offline

## #27 2013-02-20 08:03:53

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,475

### Re: Combinations 6 of 49 without the results with numbers in sequence

Hmmmm, the recurrence of course.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #28 2013-02-20 08:04:59

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Combinations 6 of 49 without the results with numbers in sequence

I found it using some simple casework.

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
The knowledge of some things as a function of age is a delta function.

Offline

## #29 2013-02-20 08:12:55

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,475

### Re: Combinations 6 of 49 without the results with numbers in sequence

Casework is never simple and you must always be thinking of the form of your solution. Most math types are notorioulsy bad problem solvers. Just take a look at all those equations that they think are beautiful and are not worth a dime computationally.

What if this solution takes 1.2 million years to run?

Last edited by bobbym (2013-02-20 08:15:40)

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #30 2013-02-20 08:18:43

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Combinations 6 of 49 without the results with numbers in sequence

I hope it doesn't. I don't have much time. We have some tests next week.

I proposed that recurrence as a pathway to an analytic solution, not for computation.

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
The knowledge of some things as a function of age is a delta function.

Offline

## #31 2013-02-20 08:24:34

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,475

### Re: Combinations 6 of 49 without the results with numbers in sequence

I proposed that recurrence as a pathway to an analytic solution, not for computation

It is not going to be easy to solve that recurrence.

Last edited by bobbym (2013-02-20 10:21:28)

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

## #32 2013-02-20 11:11:47

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Combinations 6 of 49 without the results with numbers in sequence

I think a multivariate GF can be found for A(n,k) from the recurrence.

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
The knowledge of some things as a function of age is a delta function.

Offline

## #33 2013-02-20 12:39:37

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,475

### Re: Combinations 6 of 49 without the results with numbers in sequence

You will have to do it by hand but why would you? Why do all that work when you do not even know whether it works or not.

I stress my approach of first having the answer. The experimental way. I have not convinced you of this yet and the remnants of your math education you are tenaciously holding on to.

Last edited by bobbym (2013-02-21 03:48:55)

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline