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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,018

We could continue in your thread in Computer Math about diophantine equations.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 107,764

That is not what I meant. GF's are rather obscure and not taught. He/she will probably expect a solution in terms of ncr's.

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What you could do is say the kids got a, b, c, d, d (the twins each got the same) and then seek quadruples satisfiing a+b+c+2d=13 than try each value of d.

d=0: 13 candies 3 kids place dividers in ccccccccccccc (c for CANDY!) and see the number of ways we can put the 3 dividers (3 kids left) so 15 choose 2 = 105

d=1: same, 13 choose 2 = 78

d=2: same logic, 11 choose 2 = 55

d=3: ditto I stop saying same 9 choose 2 = 36

d=4: 7 choose 2 = 21

d=5: 5 choose 2 = 10

d=6: 3 choose 2 = 3

105+78+55+36+21+10+3=308

I got 308

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 107,764

Hi;

Welcome to the forum, 308 is the correct answer.

**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.**

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**anonimnystefy****Real Member**- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,018

That looks like something that would please the OP.

By the way, I just though of a twist to the puzzle to make it just a bit harder.

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.

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bobbym wrote:

Yes, I see that.

How about the recurrence:

with a(0)=1,a(1)=3

This is for what?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 107,764

For post #1.

**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.**

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