Is there a method to calculate........
#1
Is there a method to calculate........
Is there a calculator or basic method of working out how many different combinations of HST's you can make from a set number of fabrics, for instance 12 fabrics? I am useless at maths and my brain goes into overdrive just trying to figure it out
#4
Power Poster
Join Date: Dec 2010
Location: Michigan
Posts: 11,276
Bjchad is correct. Start with 1, add 2 to that, then 3 etc. stop when you get to 1 less than the number of fabrics you have.
So lets say you have 6 fabrics. the number of unique HSTs would be 1+2+3+4+5 (the last number is the number of fabrics you have 6 minus 1 = 5).
So lets say you have 6 fabrics. the number of unique HSTs would be 1+2+3+4+5 (the last number is the number of fabrics you have 6 minus 1 = 5).
#6
It's called permutations and combinations in the math world. Permutations are where order matters, combinations are where it doesn't.
http://betterexplained.com/articles/...-combinations/
In your HST example, order doesn't matter, so it's a combination. And specifically how many combinations of r objects (2 in this case) from a set of n objects (12 in this case). Without getting into too much detail or terminology, the answer is 66.
12 · 11 ÷ 2 · 1 = 132 ÷ 2 = 66
Another example: if you wanted to know the number of different four patches you could make with 20 fabrics, it would be:
20 · 19 · 18 · 17 ÷ 4 · 3 · 2 · 1 = 116,280 ÷ 24 = 4,845
Have fun!
http://betterexplained.com/articles/...-combinations/
In your HST example, order doesn't matter, so it's a combination. And specifically how many combinations of r objects (2 in this case) from a set of n objects (12 in this case). Without getting into too much detail or terminology, the answer is 66.
12 · 11 ÷ 2 · 1 = 132 ÷ 2 = 66
Another example: if you wanted to know the number of different four patches you could make with 20 fabrics, it would be:
20 · 19 · 18 · 17 ÷ 4 · 3 · 2 · 1 = 116,280 ÷ 24 = 4,845
Have fun!
Last edited by ghostrider; 01-20-2016 at 07:37 AM.
#7
I have a book: Quilters Reference Tool written by Harriet Hargrave et al
It has tables and yardage...takes the math out of piecing
http://www.amazon.com/Illustrations-...rriet+hargrave
Also this one, but I haven't seen it, just found it online
https://www.byannie.com/shop/product/math-for-quilters/
It has tables and yardage...takes the math out of piecing
http://www.amazon.com/Illustrations-...rriet+hargrave
Also this one, but I haven't seen it, just found it online
https://www.byannie.com/shop/product/math-for-quilters/
#8
Super Member
Join Date: Jul 2014
Location: Illinois
Posts: 2,140
Are you counting each direction change? If so, you would have 300 possible combinations. If not, it's 75.
You need to add each consecutive number together to get the total. If you have 4 different layouts, then you need to also multiply the answer by 4.
12+11+10+9+8+7+6+5+4+3+2+1=75 | 75x4=300
Note: The above answer includes matching together 2 of the same fabrics (will look like a square of that fabric). If you don't want that option, get rid of the highest number.
11+10+9+8+7+6+5+4+3+2+1=63 | 63x4=252
[ATTACH=CONFIG]540704[/ATTACH]
You need to add each consecutive number together to get the total. If you have 4 different layouts, then you need to also multiply the answer by 4.
12+11+10+9+8+7+6+5+4+3+2+1=75 | 75x4=300
Note: The above answer includes matching together 2 of the same fabrics (will look like a square of that fabric). If you don't want that option, get rid of the highest number.
11+10+9+8+7+6+5+4+3+2+1=63 | 63x4=252
[ATTACH=CONFIG]540704[/ATTACH]
#10
Super Member
Join Date: Aug 2013
Posts: 9,299
If one quilter boarded a train from New York to Chicago at 3:45 pm with 27 yards of fabric And a long arm, , and another quilter boarded a train from Omaha to Chicago at 2:30 pm with 13 yards and a Featherweight, how much chocolate would they eat in Paducah?
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