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#51 2014-10-22 23:52:52
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Experimental Mathematics Troll
This is how I see the problem.
s = Permutations[{1, 2, 3, 4, 5, 6}, {6}];
s = DeleteCases[s, {___, 1, ___, 2, ___}];
s = DeleteCases[s, {___, 3, ___, 4, ___}];
s = DeleteCases[s, {___, 5, ___, 6, ___}];
Length[s]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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#52 2014-10-22 23:55:19
Re: Experimental Mathematics Troll
What value is that returning?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#53 2014-10-22 23:56:44
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Experimental Mathematics Troll
90 is the answer. 1,3,5 are students and 2,4,6 are guardians.
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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#54 2014-10-22 23:58:06
- Arna
- Member
- From: The Polar Plane
- Registered: 2014-07-23
- Posts: 1,668
Re: Experimental Mathematics Troll
ok list of answers
6
180
90
but they all differ from that answer!!
Nothing is impossible as the statement itself states I M POSSIBLE
In this realm of twisted reality,sanity is only illusion
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#55 2014-10-22 23:59:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Experimental Mathematics Troll
It is just how I see the problem.
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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#56 2014-10-22 23:59:28
Re: Experimental Mathematics Troll
That is very good!
Do you have a gf for this?
Last edited by Agnishom (2014-10-23 00:00:01)
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#57 2014-10-23 00:00:25
- Arna
- Member
- From: The Polar Plane
- Registered: 2014-07-23
- Posts: 1,668
Re: Experimental Mathematics Troll
So the problem needs to be reported?
Nothing is impossible as the statement itself states I M POSSIBLE
In this realm of twisted reality,sanity is only illusion
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#58 2014-10-23 00:00:33
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Experimental Mathematics Troll
What is very good?
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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#59 2014-10-23 00:01:54
- Arna
- Member
- From: The Polar Plane
- Registered: 2014-07-23
- Posts: 1,668
Re: Experimental Mathematics Troll
Do you have any gf for this?
gf=Grammatical Framework??
Nothing is impossible as the statement itself states I M POSSIBLE
In this realm of twisted reality,sanity is only illusion
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#60 2014-10-23 00:04:03
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Experimental Mathematics Troll
I have stopped working on the problem. There is another interpretation that would give a different answer. As you know I only work on clearly defined problems.
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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#61 2014-10-23 01:37:41
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,621
Re: Experimental Mathematics Troll
hi
I'm getting 54.
Like this:
(On paper I keep muddling Gs and Cs because of my writing so I'm using A for the guardians and C for the children.)
First interview must be a guardian, let's say Ax. 3 ways.
Hereafter I'll list the interview sequence:
Second interview
AxCx (3 x 1)
AxAy (3 x 2).
Third interview:
AxCxAy (3 x 1 x 2)
AxAyCx (3 x 2 x 1)
AxAyCy (3 x 2 x 1)
Fourth interview:
AxCxAyCy (3 x 1 x 2 x 1)
AxCxAyAz (3 x 1 x 2 x 1)
AxAyCxCy (3 x 2 x 1 x 1)
AxAyCxAz (3 x 2 x 1 x 1)
AxAyCyCx (3 x 2 x 1 x 1)
AxAyCyAz (3 x 2 x 1 x 1)
Fifth and sixth interview:
AxCxAyCyAzCz is forced (3 x 1 x 2 x 1 x 1 x 1 = 6)
AxCxAyAzCyCz (3 x 1 x 2 x 1 x 1 x 1 = 6)
AxCxAyAzCzCy (3 x 1 x 2 x 1 x 1 x 1= 6)
AxAyCxCyAzCz is forced (3 x 2 x 1 x 1 x 1 x 1 = 6)
AxAyCxAzCyCz (3 x 2 x 1 x 1 x 1 x 1 = 6)
AxAyCxAzCzCy (3 x 2 x 1 x 1 x 1 x 1 = 6)
AxAyCyCxAzCz is forced (3 x 2 x 1 x 1 x 1 x 1 =6)
AxAyCyAzCxCz (3 x 2 x 1 x 1 x 1 x 1 = 6)
AxAyCyAzCzCx (3 x 2 x 1 x 1 x 1 x 1 = 6)
Total = 9 x 6 = 54
Bob
Last edited by Bob (2014-10-23 01:42:25)
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob 
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#62 2014-10-23 02:47:21
Re: Experimental Mathematics Troll
Wasn't it a lot of hard work writing all of these down?
I will ask the problem poster to check his problem..
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#63 2014-10-23 03:31:41
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,621
Re: Experimental Mathematics Troll
Yes, But it just goes to show my devotion to MIF.
Bob
ps. As it's only 54, I'm tempted to write out all the solutions. Then you'll have something to agree / disagree with.
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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#64 2014-10-23 03:39:20
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Experimental Mathematics Troll
Hi Bob;
Please write out all the solutions if you can.
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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#65 2014-10-23 04:24:51
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,621
Re: Experimental Mathematics Troll
I'm doing that now. But I've only got 48. Have to take a break and then have another look.
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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#66 2014-10-23 04:27:07
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Experimental Mathematics Troll
Okay, when you get it. Thanks for doing it.
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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#67 2014-10-23 05:53:40
Re: Experimental Mathematics Troll
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#68 2014-10-23 05:56:35
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,621
Re: Experimental Mathematics Troll
Ok. Here's my solution set:
LATER EDIT: Due to carelessness, I missed a whole load of solutions. There should have been 36 more making the answer 90. See post 72 for the missing ones. My thanks to bobbym for helping me with this.
G1 C1 G2 C2 G3 C3
G1 C1 G2 G3 C2 C3
G1 C1 G2 G3 C3 C2
G1 C1 G3 C3 G2 C2
G1 C1 G3 G2 C2 C3
G1 C1 G3 G2 C3 C2
G1 G2 C1 C2 G3 C3
G1 G2 C1 G3 C1 C3
G1 G2 C1 G3 C3 C1
G1 G2 C2 C1 G3 C3
G1 G2 C2 G3 C1 C3
G1 G2 C2 G3 C3 C1
G1 G3 C1 C3 G2 C2
G1 G3 C3 G2 C1 C2
G1 G3 C3 G2 C2 C3
G1 G3 C1 C3 G2 C2
G1 G3 C3 G2 C1 C2
G1 G3 C3 G2 C2 C3
G2 C2 G1 C1 G3 C3
G2 C2 G1 G3 C1 C3
G2 C2 G1 G3 C3 C1
G2 C2 G3 C3 G1 C1
G2 C2 G3 G1 C1 C3
G2 C2 G3 G1 C3 C1
G2 G1 C2 C1 G3 C3
G2 G1 C2 G3 C1 C3
G2 G1 C2 G3 C3 C1
G2 G1 C1 C2 G3 C3
G2 G1 C1 G3 C2 C3
G2 G1 C1 G3 C3 C2
G2 G3 C2 C3 G1 C1
G2 G3 C2 G1 C1 C3
G2 G3 C2 G1 C3 C1
G2 G3 C3 C2 G1 C1
G2 G3 C3 G1 C1 C2
G2 G3 C3 G1 C2 C1
G3 C3 G1 C1 G2 C2
G3 C3 G1 G2 C1 C2
G3 C3 G1 G2 C2 C1
G3 C3 G2 C2 G1 C1
G3 C3 G2 G1 C1 C2
G3 C3 G2 G1 C2 C1
G3 G1 C3 C1 G2 C2
G3 G1 C3 G2 C1 C2
G3 G1 C3 G2 C2 C1
G3 G1 C1 C3 G2 C2
G3 G1 C1 G2 C2 C3
G3 G1 C1 G2 C3 C2
G3 G2 C3 C2 G1 C1
G3 G2 C3 G1 C1 C2
G3 G2 C3 G1 C2 C1
G3 G2 C2 C3 G1 C1
G3 G2 C2 G1 C1 C3
G3 G2 C2 G1 C3 C1
Bob
Last edited by Bob (2014-10-23 19:41:27)
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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#69 2014-10-23 06:21:46
Re: Experimental Mathematics Troll
How did you make that? By hand?
The correct answer is 90
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#70 2014-10-23 06:23:44
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,621
Re: Experimental Mathematics Troll
I did do it by hand. If the 'correct' answer is 90, then please give one element that is missing from my set.
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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#71 2014-10-23 06:29:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Experimental Mathematics Troll
Hi Bob;
There are arrangements missing from your set.
G3 G2 G1 C3 C2 C1 and its permutations of the last 3 elements.
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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#72 2014-10-23 06:52:31
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,621
Re: Experimental Mathematics Troll
hi bobbym,
Thanks. I just missed them when trying to find all the possibilities. That adds 3 x 2 x 1 x 3! = 36 more and so I also now get 90.
Bob
G1 G2 G3 C1 C2 C3
G1 G3 G2 C1 C3 C2
G2 G1 G3 C2 C1 C3
G2 G3 G1 C2 C3 C1
G3 G1 G2 C3 C1 C2
G3 G2 G1 C3 C2 C1
G1 G2 G3 C1 C2 C3
G1 G3 G2 C1 C3 C2
G2 G1 G3 C2 C1 C3
G2 G3 G1 C2 C3 C1
G3 G1 G2 C3 C1 C2
G3 G2 G1 C3 C2 C1
G1 G2 G3 C1 C2 C3
G1 G3 G2 C1 C3 C2
G2 G1 G3 C2 C1 C3
G2 G3 G1 C2 C3 C1
G3 G1 G2 C3 C1 C2
G3 G2 G1 C3 C2 C1
G1 G2 G3 C1 C2 C3
G1 G3 G2 C1 C3 C2
G2 G1 G3 C2 C1 C3
G2 G3 G1 C2 C3 C1
G3 G1 G2 C3 C1 C2
G3 G2 G1 C3 C2 C1
G1 G2 G3 C1 C2 C3
G1 G3 G2 C1 C3 C2
G2 G1 G3 C2 C1 C3
G2 G3 G1 C2 C3 C1
G3 G1 G2 C3 C1 C2
G3 G2 G1 C3 C2 C1
G1 G2 G3 C1 C2 C3
G1 G3 G2 C1 C3 C2
G2 G1 G3 C2 C1 C3
G2 G3 G1 C2 C3 C1
G3 G1 G2 C3 C1 C2
G3 G2 G1 C3 C2 C1
Last edited by Bob (2014-10-23 19:39:10)
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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#73 2014-10-23 13:41:45
Re: Experimental Mathematics Troll
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#74 2014-10-23 19:14:56
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Experimental Mathematics Troll
They have now marked my original answer correct and upgraded the value of the question to 100 pts.
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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#75 2014-10-23 19:16:27
- danaj
- Member
- Registered: 2014-03-03
- Posts: 29
Re: Experimental Mathematics Troll
I did it this way, which is longer but lets one see all the results. Perl:
use ntheory qw/:all/;
my @I = qw(A a B b C c); # lower case = child, upper case = guardian
forperm {
my $s = "@I[@_]"; # the permuted string
say $s unless $s =~ /a.*A|b.*B|c.*C/; # print unless child precedes its guardian
} 6;which prints out the 90 cases as: "A a B b C c" , "A a B C b c", "A a B C c b", etc. There are lots of ways to structure the restriction (e.g. a hash of positions, then do position comparisons).
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