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Do three-saw plans still exist on here?

Derf

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By my math, you get 11 different 3-saw plans....

Actually, there are many more permutations than 11 different 3-saw plans if you have 33 saws to choose from.
1, 2, 3.
2, 3, 4.
3, 4, 5.... etc. That would get you at least 31 3-saw plans...
Then you have
1, 2, 4.
1, 2, 5.
1, 2, 6.... etc.
Then you have
1, 3, 4.
1, 3, 5....
One could say that a permutation is an ordered combination. The number of permutations of n objects taken r at a time is determined by the formula: P ( n , r ) = n ! ( n − r ) ! but if order isn't important and repetition isn't allowed, the formulas would be (n !) / r! (n-r)!

The math works out to 5456 possible 3-saw plans if you have 33 saws. (I was a math minor in a previous life).
 

PA Dan

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Actually, there are many more permutations than 11 different 3-saw plans if you have 33 saws to choose from.
1, 2, 3.
2, 3, 4.
3, 4, 5.... etc. That would get you at least 31 3-saw plans...
Then you have
1, 2, 4.
1, 2, 5.
1, 2, 6.... etc.
Then you have
1, 3, 4.
1, 3, 5....
One could say that a permutation is an ordered combination. The number of permutations of n objects taken r at a time is determined by the formula: P ( n , r ) = n ! ( n − r ) ! but if order isn't important and repetition isn't allowed, the formulas would be (n !) / r! (n-r)!

The math works out to 5456 possible 3-saw plans if you have 33 saws. (I was a math minor in a previous life).
Have a little time on your hands...?
 

AlfA01

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Actually, there are many more permutations than 11 different 3-saw plans if you have 33 saws to choose from.
1, 2, 3.
2, 3, 4.
3, 4, 5.... etc. That would get you at least 31 3-saw plans...
Then you have
1, 2, 4.
1, 2, 5.
1, 2, 6.... etc.
Then you have
1, 3, 4.
1, 3, 5....
One could say that a permutation is an ordered combination. The number of permutations of n objects taken r at a time is determined by the formula: P ( n , r ) = n ! ( n − r ) ! but if order isn't important and repetition isn't allowed, the formulas would be (n !) / r! (n-r)!

The math works out to 5456 possible 3-saw plans if you have 33 saws. (I was a math minor in a previous life).

Yeah, but after all that calculating to sort out which three, I'd be to tired to cut wood.
 

treesmith

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My first thought was 33 x 32 x 31

33 possible first choices, then 32 possible second choices then 31 possible third choices
 

Derf

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My first thought was 33 x 32 x 31

33 possible first choices, then 32 possible second choices then 31 possible third choices
n! (Pronounced n factorial) is basically that. For example, 3! is 3 x 2 x 1

You're on the right track with that logic, but it isn't quite right. If you had 5 saws, you could choose
1, 2, 3
1, 2, 4
1, 2, 5
1, 3, 4
1, 3, 5
1, 4, 5
2, 3, 4
2, 3, 5
2, 4, 5
Or 3, 4, 5
ten 3-saw plans
You wouldn't get that answer if you did
5 x 4 x 3 x 2 x 1 = 120

But 5! / 3!(5-3)! = 120 / 6*2= 120 / 12 = 10
 

danimal

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n! (Pronounced n factorial) is basically that. For example, 3! is 3 x 2 x 1

You're on the right track with that logic, but it isn't quite right. If you had 5 saws, you could choose
1, 2, 3
1, 2, 4
1, 2, 5
1, 3, 4
1, 3, 5
1, 4, 5
2, 3, 4
2, 3, 5
2, 4, 5
Or 3, 4, 5
ten 3-saw plans
You wouldn't get that answer if you did
5 x 4 x 3 x 2 x 1 = 120

But 5! / 3!(5-3)! = 120 / 6*2= 120 / 12 = 10
You damn math heads make my brain hurt.
Ain't it simpler to just have a dozen saws and go cut wud?
 

wcorey

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The math works out to 5456 possible 3-saw plans if you have 33 saws. (I was a math minor in a previous life).

The flaw in that reasoning is that you'd end up with many plans consisting of saws with redundant displacements, not really in keeping with the whole point of a three saw plan...
 
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