In mathematics, the binomial coefficients are the positive integers that happen as coefficients in the binomial theorem. The symbol (N K) is normally read as" N choose K" because there are (N K) ways to choose an (unordered) subset of KĀ elements from a fixed set of N elements.

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```
/*
* Copyright (c) 2017 Kotlin Algorithm Club
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* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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*/
package com.algorithmexamples.math
/**
* This calculates C(n,k). How many ways can k be chosen from n?
*/
fun binomial(n: Int, k: Int): Long {
var j = n - k + 1
var binomial = 1L
for (i in 1 until k + 1) {
binomial = binomial * j / i
j++
}
return binomial
}
```