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JavaScript/Maths/PermutationAndCombination.js at master · TheAlgorithms/JavaScript · GitHub
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/**
*
@details
Calculates the number of permutations and combinations.
*
@external_link
(Permutation And Combinations)[https://www.geeksforgeeks.org/permutation-and-combination/]
*/
/**
*
@brief
Calculates the factorial of the given number.
*
@param
num: integer
*
@details
Factorial of n = n * (n - 1) * (n - 2) * ... * 1
*
@returns
integer: Factorial of the number.
NaN: if negative number is provided.
*/
const
factorial
=
(
n
)
=>
{
if
(
n
>=
0
)
{
if
(
n
===
0
)
{
return
1
}
else
{
return
n
*
factorial
(
n
-
1
)
}
}
else
{
return
NaN
}
}
/**
*
@brief
Calculates the number of Permutations from the given data.
*
@param
* n: integer -> number of items.
* r: integer -> number of times n is taken.
*
@returns
integer: The number of permutations.
NaN: if negative number is provided.
*/
const
permutation
=
(
n
,
r
)
=>
{
return
factorial
(
n
)
/
factorial
(
n
-
r
)
}
/**
*
@brief
Calculates the number of Combinations from the given data.
*
@param
* n -> number of items.
* r -> number of times n is taken.
*
@returns
integer: The number of combinations.
NaN: if negative number is provided.
*/
const
combination
=
(
n
,
r
)
=>
{
return
factorial
(
n
)
/
(
factorial
(
r
)
*
factorial
(
n
-
r
)
)
}
// Exports the functions to be used in other files.
export
{
factorial
,
permutation
,
combination
}
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