Codeforces Beta Round #95 (Div. 2)C. The World is a Theatre
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#include <iostream>#include <cstdio>#include <cmath>#include <algorithm>using namespace std;long long n, m, t;long long C(long long x, long long y){ long long q = 1, sum = 1; for(int i = x+1; i <= y; i++) { sum = sum*i/q; q++; } return sum;}int main(){ cin >> n >> m >> t; long long s = 0; for(int i = 4; i <= n; i++) { if(i <= n && t-i<=m && t-i>0) { s = s + C(i, n)*C(t-i, m); } } cout << s << endl;}
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