Difference between revisions of "Extents"

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(Created page with 'An Extent in ringing is the total number of possible rows that can be achieved on a particular stage. The total is found by simply applying <math>n!</math>, where 'n' is …')
 
 
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An Extent in ringing is the total number of possible [[row]]s that can be achieved on a particular [[stage]]. The total is found by simply applying <math>n!</math>, where 'n' is the total number of non-stationary bells.
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An Extent in ringing is the total number of possible [[row]]s that can be achieved on a particular [[stage]]. The total is found by simply applying n!, where 'n' is the total number of non-stationary bells.
  
*for 5 bells the extent is: <math>5! = 5 x 4 x 3 x 2 x 1 = 120 rows</math>
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*for 5 bells the extent is: 5! = 5 x 4 x 3 x 2 x 1 = 120 rows
*for 7 bells the extent is: <math>7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040 rows</math>
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*for 7 bells the extent is: 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040 rows
  
for little methods the extent is: <math>h(n-1)!</math> where 'h' is the number of places the hunt bell reaches:
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for little methods the extent is: h(n-1)! where 'h' is the number of places the hunt bell reaches:
  
*for Little Bob Major, the extent is: <math>4 x 7! = 4 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 20,160 rows</math>
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*for Little Bob Major, the extent is: 4 x 7! = 4 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 20,160 rows
 +
*for Littleport Little Surprise Royal, the extent is: 8 x 9! = 8 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 2,903,040 rows
  
 
[[Category:Terminology]]
 
[[Category:Terminology]]

Latest revision as of 13:26, 8 March 2010

An Extent in ringing is the total number of possible rows that can be achieved on a particular stage. The total is found by simply applying n!, where 'n' is the total number of non-stationary bells.

  • for 5 bells the extent is: 5! = 5 x 4 x 3 x 2 x 1 = 120 rows
  • for 7 bells the extent is: 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040 rows

for little methods the extent is: h(n-1)! where 'h' is the number of places the hunt bell reaches:

  • for Little Bob Major, the extent is: 4 x 7! = 4 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 20,160 rows
  • for Littleport Little Surprise Royal, the extent is: 8 x 9! = 8 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 2,903,040 rows