# include <cstdlib>
# include <iostream>

using namespace std;

int main ( )
//
//  POKER_HANDS tries to compute the number of possible hands in 
//  poker.  The correct answer is 52-choose-5 or 52!/(47!*5!) and
//  the program computes exactly this number but ends up failing.
//
//  You are invited to think about what could have gone wrong.
//
{
  int choose ( int n, int k );
  int n, k, hands;

  n = 52;
  k = 5;
  hands = choose ( n, k );

  cout << "From a deck of " << n << " cards,"
       << " we choose " << k << " cards to form a hand.\n";

  cout << "Assuming the order of the 5 cards doesn't matter,\n";
  cout << "there are " << hands << " different hands we can draw.\n";

  return 0;
}
int choose ( int n, int k )
{
  int factorial ( int n );
  int value;

  value = factorial ( n ) / factorial ( k ) / factorial ( n - k );

  return value;
}
int factorial ( int n )
{
  int i;
  int value;

  value = 1;

  for ( i = 1; i <= n; i++ )
  {
    value = value * i;
  }
  return value;
}