Difference between revisions of "Manuals/calci/PERMUT"

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<div style="font-size:30px">'''PERMUT(n,nc)'''</div><br/>
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<div style="font-size:30px">'''PERMUT(Number,NumberChosen)'''</div><br/>
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*<math>n</math>  and <math> nc </math> are integers
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*<math>Number</math>  and <math> NumberChosen </math> are integers.
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**PERMUT(), returns the number of permutations for a given number of objects.
  
 
==Description==
 
==Description==
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*A selection of objects in which the order of the objects matters.
 
*A selection of objects in which the order of the objects matters.
 
*A Permutation is an Ordered Combination.
 
*A Permutation is an Ordered Combination.
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*In <math>PERMUT(n,nc)</math>, <math>n</math> is an integer which is indicating the number of objects and <math>nc</math> is an integer which is indicating the number of objects in each permutation.
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*In <math>PERMUT(Number,NumberChosen)</math>, <math>Number</math> is an integer which is indicating the number of objects and <math>NumberChosen</math> is an integer which is indicating the number of objects in each permutation.
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*For <math>n</math> and <math>nc</math>, when we give in decimals, it will change into integers.  
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*For <math>Number</math> and <math>NumberChosen</math>, when we give in decimals, it will change into integers.  
 
*The formula for the number of permutation is: <math>_n P_k= \frac {n!}{(n-k)!}</math>
 
*The formula for the number of permutation is: <math>_n P_k= \frac {n!}{(n-k)!}</math>
 
*The Permutation is denoted by <math> _nP_k</math>, <math>P_{n,k}</math>, or <math>P(n,k) </math>.This function will give the result as error when  
 
*The Permutation is denoted by <math> _nP_k</math>, <math>P_{n,k}</math>, or <math>P(n,k) </math>.This function will give the result as error when  
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  1.<math>n</math> and <math>nc</math> are non-numeric.
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  1.<math>Number</math> and <math>NumberChosen</math> are non-numeric.
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  2.Suppose <math> n \le 0</math>  or  <math>nc < 0</math> or <math>n < nc </math>.
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  2.Suppose <math> Number \le 0</math>  or  <math>NumberChosen < 0</math> or <math>Number < NumberChosen </math>.
  
 
==Examples==
 
==Examples==
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#=PERMUT(14,2) = 182
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#PERMUT(14,2) = 182
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#=PERMUT(50,5) = 254251200
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#PERMUT(50,5) = 254251200
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#=PERMUT(10.2,3) = 720
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#PERMUT(10.2,3) = 720
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#=PERMUT(4,0) = 1
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#PERMUT(4,0) = 1
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#=PERMUT(6,1) = 6
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#PERMUT(6,1) = 6
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#34!P!3 = 35904
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#PERMUT(COMBIN(34, 3n), 3) OR a=34n!C!3!P!3 = 214169191104
  
 
==Related Videos==
 
==Related Videos==

Latest revision as of 03:22, 24 February 2022

PERMUT(Number,NumberChosen)


  • and are integers.
    • PERMUT(), returns the number of permutations for a given number of objects.

Description

  • This function gives the number of Permutations for a given number of objects.
  • A permutation, also called an "arrangement number" or "order", is a rearrangement of the elements of an ordered list.
  • A selection of objects in which the order of the objects matters.
  • A Permutation is an Ordered Combination.
  • In , is an integer which is indicating the number of objects and is an integer which is indicating the number of objects in each permutation.
  • For and , when we give in decimals, it will change into integers.
  • The formula for the number of permutation is:
  • The Permutation is denoted by , , or .This function will give the result as error when
1. and  are non-numeric.
2.Suppose   or   or .

Examples

  1. PERMUT(14,2) = 182
  2. PERMUT(50,5) = 254251200
  3. PERMUT(10.2,3) = 720
  4. PERMUT(4,0) = 1
  5. PERMUT(6,1) = 6
  6. 34!P!3 = 35904
  7. PERMUT(COMBIN(34, 3n), 3) OR a=34n!C!3!P!3 = 214169191104

Related Videos

PERMUT

See Also

References

Permutation


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