#include using namespace std; using ll = long long; #define all(A) A.begin(),A.end() using vll = vector; #define rep(i, n) for (long long i = 0; i < (long long)(n); i++) using Graph = vector>; ll mod = 998244353; ll inva(ll N) { ll a = N, b = mod, c = 1, d = 0; while (b > 0) { ll t = a / b; a -= t * b; swap(a, b); c -= t * d; swap(c, d); } c %= mod; if (c < 0)c += mod; return c; }//割り算時に使う逆元を求める. int main() { double F, N, K; cin >> F >> N >> K; double an = 0; rep(i, round(F)) { double A = 0; double s = double(i) / F; double e = 1.0 / F; double b = 1.0 - e - s; rep(j, round(K))rep(k, round(N - K)+1) { double m = 1; rep(q, j)m *= b; rep(q, k)m *= s; rep(q, round(N) - j - k)m *= e; rep(q, round(N))m *= (q + 1); rep(q, j)m /= (q + 1); rep(q, round(N) - j - k)m /= (q + 1); rep(q, k)m /= (q + 1); A += m; } an += A * (i + 1); } cout << setprecision(16) << an << endl; }