Manuals/calci/PERMUT

PERMUT(n,nc)

• $n$ and $nc$ 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 $PERMUT(n,nc)$, $n$ 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 are giving in to decimals it will change in to integers.
• The formula for the number of permutation is:$_{n}P_{k}={\frac {n!}{(n-k)!}}$
• The Permutation is denoted by $_{n}P_{k}$, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P_{n,k}} , or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P(n,k) } .This function will give the result as error when

1.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n}
 and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle nc}
 are non-numeric.
2.Suppose Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle  n \le 0}
  or  Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle nc < 0}
 or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n < nc }
.

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

• BINOMDIST
• COMBIN
• FACT
• NEGBINOMDIST