📄 ex0510.cpp
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// Programming with C++, Second Edition, by John R. Hubbard
// Copyright McGraw-Hill, 2000
// Example 5.10 on page 96
// The Permutation Function
#include <iostream> // defines the cout object
using namespace std;
long perm(int,int);
// returns P(n,k), the number of permutations of k from n;
int main()
{ // tests the perm() function:
for (int i = -1; i < 8; i++)
{ for (int j=-1; j <= i+1; j++)
cout << " " << perm(i,j);
cout << endl;
}
}
long fact(int);
long perm(int n, int k)
{ // returns P(n,k), the number of permutations of k from n:
if (n < 0 || k < 0 || k > n) return 0;
return fact(n)/fact(n-k);
}
long fact(int n)
{ // returns n!
if (n < 0) return 0;
int f = 1;
while (n > 1)
f *= n--;
return f;
}
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