Difference between revisions of "Manuals/calci/PERMUT"

Revision as of 14:08, 8 June 2018

PERMUT(Number,NumberChosen)

$Number$ and $NumberChosen$ 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 $PERMUT(Number,NumberChosen)$ , $Number$ is an integer which is indicating the number of objects and $NumberChosen$ is an integer which is indicating the number of objects in each permutation.
For $Number$ and $nc$ , when we give in decimals, it will change into integers.
The formula for the number of permutation is: $_{n}P_{k}={\frac {n!}{(n-k)!}}$
The Permutation is denoted by $_{n}P_{k}$ , $P_{n,k}$ , or $P(n,k)$ .This function will give the result as error when

1. $Number$  and  $NumberChosen$  are non-numeric.
2.Suppose  $Number\leq 0$   or   $NumberChosen<0$  or  $Number<NumberChosen$ .

Examples

=PERMUT(14,2) = 182
=PERMUT(50,5) = 254251200
=PERMUT(10.2,3) = 720
=PERMUT(4,0) = 1
=PERMUT(6,1) = 6

References

Permutation

List of Main Z Functions

Z3 home

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''PERMUT(n,nc)'''</div><br/>
+<div style="font-size:30px">'''PERMUT(Number,NumberChosen)'''</div><br/>
-*<math>n</math>  and <math> nc </math> are integers
+*<math>Number</math>  and <math> NumberChosen </math> are integers
 ==Description==
@@ Line 7: / Line 7: @@
 *A selection of objects in which the order of the objects matters.
 *A Permutation is an Ordered Combination.
-*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.
+*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.
-*For <math>n</math> and <math>nc</math>, when we give in decimals, it will change into integers.
+*For <math>Number</math> and <math>nc</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 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
-.<math>n</math> and <math>nc</math> are non-numeric.
+.<math>Number</math> and <math>NumberChosen</math> are non-numeric.
-.Suppose <math> n \le 0</math>  or  <math>nc < 0</math> or <math>n < nc </math>.
+.Suppose <math> Number \le 0</math>  or  <math>NumberChosen < 0</math> or <math>Number < NumberChosen </math>.
 ==Examples==

Difference between revisions of "Manuals/calci/PERMUT"

Revision as of 14:08, 8 June 2018

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