The following is a C program to compute Permutation and Combination:
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/************************************************** Program to calculate Permutation and Combination * * Enter n: 10 * Enter r: 4 * Permutation = 5040 * Combination = 210 ***************************************************/ #include<stdio.h> // include stdio.h library long permutation(int n, int r); long combination(int n, int r); long factorial(int num); int main(void) { int n, r; printf("Enter n: "); scanf("%d", &n); printf("Enter r: "); scanf("%d", &r); printf("Permutation = %ld\n", permutation(n, r)); printf("Combination = %ld", combination(n, r)); return 0; // return 0 to operating system } long permutation(int n, int r) { return factorial(n) / factorial(n-r); } long combination(int n, int r) { return permutation(n, r) / factorial(r); } long factorial(int num) { long long fact = 1; while(num > 0) { fact *= num; num--; } return fact; } |
Expected Output:
1st run:
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Enter n: 5 Enter r: 3 Permutation = 60 Combination = 10 |
2nd run:
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1 2 3 4 |
Enter n: 5 Enter r: 0 Permutation = 1 Combination = 1 |
How it works
Nothing magical here we are simply using the formula to calculate permutation and combination.
The permutations of n different objects taken r at a time is given by:
The combinations of n different objects taken r at a time is given by:
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