Difference between revisions of "Manuals/calci/PERMUT"

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<div style="font-size:30px">'''PERMUT(n,nc)'''</div><br/>
 
<div style="font-size:30px">'''PERMUT(n,nc)'''</div><br/>
 
*<math>n</math>  and <math> nc </math> are integers
 
*<math>n</math>  and <math> nc </math> are integers
 
  
 
==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.
*In <math>PERMUT(n,nc), n</math> is an integer which is indicating the number of objects and nc is an integer which is indicating the number of objects in each permutation.
+
*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.
*For n and nc ,when we are giving in to decimals it will change in to integers.  
+
*For <math>n</math> and <math>nc</math> ,when we are giving in to decimals it will change in to 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, P_{n,k}, or 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  
  1.n and nc are nonnumeric.
+
  1.<math>n</math> and <math>nc</math> are non-numeric.
  2.Suppose <math> n \le 0  or  nc < 0 or n < nc </math>.
+
  2.Suppose <math> n \le 0</math> or  <math>nc < 0</math> or <math>n < nc </math>.
  
 
==Examples==
 
==Examples==

Revision as of 04:07, 7 January 2014

PERMUT(n,nc)


  • and are integers

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 are giving in to decimals it will change in to 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


See Also

References