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Combinations.java
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package Maths;
/**
* @see <a href="https://en.wikipedia.org/wiki/Combination">Combination</a>
*/
public class Combinations {
public static void main(String[] args) {
assert combinations(1, 1) == 1;
assert combinations(10, 5) == 252;
assert combinations(6, 3) == 20;
assert combinations(20, 5) == 15504;
}
/**
* Calculate of factorial
*
* @param n the number
* @return factorial of given number
*/
public static long factorial(int n) {
if (n < 0) {
throw new IllegalArgumentException("number is negative");
}
return n == 0 || n == 1 ? 1 : n * factorial(n - 1);
}
/**
* Calculate combinations
*
* @param n first number
* @param k second number
* @return combinations of given {@code n} and {@code k}
*/
public static long combinations(int n, int k) {
return factorial(n) / (factorial(k) * factorial(n - k));
}
}