Difference between revisions of "Manuals/calci/PERMUT"

Revision as of 05:28, 9 March 2017

PERMUT(n,nc)

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 $PERMUT(n,nc)$ , $n$ 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.
For $n$ 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. $n$  and  $nc$  are non-numeric.
2.Suppose  $n\leq 0$   or   $nc<0$  or  $n<nc$ .

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

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 ==References==
 [http://en.wikipedia.org/wiki/Permutation Permutation ]
+[[Z_API_Functions | List of Main Z Functions]]
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