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demo-combinations - int Factorial(int x PRE x>= 0 POST...

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// Programmer: Doug Hogan // Section: N/A // Program: Demo: Factorial, Permutations, Combinations // Date: October 12, 2008 // Description: This program computes the factorial using a function and demonstrates // a function using another function (and will be used for class // discussion on prototypes). // ????????????????????????????????????????????????????????????????????? // CLASS DISCUSSION QUESTION: WILL THIS ONE WORK? WHY OR WHY NOT? // ????????????????????????????????????????????????????????????????????? #include <iostream> using namespace std; int NumPermutations(int n, int r) // PRE: n > 0 && r >= 0 && r <= n // POST: FCTVAL == number of ways to arrange r objects chosen from n { return Factorial(n)/Factorial(n-r);
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Unformatted text preview: } int Factorial(int x) // PRE: x >= 0 // POST: FCTVAL == x!, i.e. the factorial of x { int result = 1; // factorial of x; starts at 1 // as we'll multiply by it and // as 0! = 1 for(int i = 1; i <= x; i++) // multiply result by all numbers { // b/w 1 and x to find factorial result = result * i; } return result; } int NumCombinations(int n, int r) // PRE: n > 0 && r >= 0 && r <= n // POST: FCTVAL == number of ways to choose r objects chosen from n // (without regard to order) { return NumPermutations(n, r)/Factorial(r); } int main() { cout << "P(5, 2) = " << NumPermutations(5, 2) << endl; cout << "5 choose 2 = " << NumCombinations(5, 2) << endl; return 0; }...
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