#include using namespace std; typedef signed long long ll; #undef _P #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) //------------------------------------------------------- int F,N,K; double fact[102]; void solve() { int i,j,k,l,r,x,y; string s; fact[0]=1.0; FOR(i,101) fact[i+1]=fact[i]*(i+1); cin>>F>>N>>K; double ret=0; for(i=1;i<=F;i++) { double prob=0; double A=(i-1.0)/F; double B=1.0/F; double C=1.0*(F-i)/F; FOR(x,N-K+1) FOR(y,K) { prob += pow(A,x)*pow(B,N-x-y)*pow(C,y)*(fact[N]/fact[x]/fact[y]/fact[N-x-y]); } ret += i*prob; } _P("%.12lf\n",ret); } int main(int argc,char** argv){ string s;int i; if(argc==1) ios::sync_with_stdio(false), cin.tie(0); FOR(i,argc-1) s+=argv[i+1],s+='\n'; FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin); cout.tie(0); solve(); return 0; }