//Include statements #include <iostream> #include <string> using namespace std;
#include <iostream>
#include <cmath>
#include <iomanip>
using namespace std; 
//Global declarations: Constants and type definitions only -- no variables
//Function prototypes int main()
int main()
{
//In cout statement below SUBSTITUTE your name and lab number
cout << "" << endl << endl;

//Variable declarations
const double PI = 3.14
double n = 18.0;
double r = 3.0;
double nmr = 15.0;
double nFact = exp(-n) * pow(n, n) * sqrt(2 * PI * n);
double rFact = exp(-r) * pow(r, r) * sqrt(2 * PI * r);
double nmrFact = exp(-nmr) * pow(nmr, nmr) *sqrt(2 * PI * nmr);
//Program logic

//using sterlings formula
// cout <<setprecision(2)
// <<n<<"! = "
// <<exp(-n) * pow(n, n) * sqrt(2 * PI * n)<<endl;

cout<<"Total amount of people in class: 18";
cout<<"                 ";
cout<<"Programming teams of: 3";
cout<<"                 ";
cout << "The number of potentiall teams that can be arranged is "
<<nFact/(rFact*nmrFact)<<endl;

//Closing program statements system("pause");

return 0;
}
//Function definitions