#include using namespace std; // #define int long long #define rep(i, n) for (long long i = (long long)(0); i < (long long)(n); ++i) #define reps(i, n) for (long long i = (long long)(1); i <= (long long)(n); ++i) #define rrep(i, n) for (long long i = ((long long)(n)-1); i >= 0; i--) #define rreps(i, n) for (long long i = ((long long)(n)); i > 0; i--) #define irep(i, m, n) for (long long i = (long long)(m); i < (long long)(n); ++i) #define ireps(i, m, n) for (long long i = (long long)(m); i <= (long long)(n); ++i) #define irreps(i, m, n) for (long long i = ((long long)(n)-1); i > (long long)(m); ++i) #define SORT(v, n) sort(v, v + n); #define REVERSE(v, n) reverse(v, v+n); #define vsort(v) sort(v.begin(), v.end()); #define all(v) v.begin(), v.end() #define mp(n, m) make_pair(n, m); #define cinline(n) getline(cin,n); #define replace_all(s, b, a) replace(s.begin(),s.end(), b, a); #define PI (acos(-1)) #define FILL(v, n, x) fill(v, v + n, x); #define sz(x) (long long)(x.size()) using ll = long long; using vi = vector; using vvi = vector; using vll = vector; using vvll = vector; using pii = pair; using pll = pair; using vs = vector; using vpll = vector>; using vtp = vector>; using vb = vector; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template using vc=vector; template using vvc=vc>; const ll INF = 1e9+10; const ll MOD = 1e9+7; const ll LINF = 1e18; // n引いて、あるxが上からk番目の値となる // 自分以上の値から(k-1)個、自分1個、自分以下(n-k)個 // これだと同じ場合の確率を重複してカウントしてしまう? // 自分未満、自分、自分より大きい、に分別 // 今xをk番目にしたい // xより大(f-x)がa個なら、xはk-a個以上必要、xがb個なら、x未満(x-1)は、n-a-b個 // ↑の中でも同じ集合だが、順列としては別として数えられる場合もある // n!/(a!*b!*c!) signed main() { cin.tie( 0 ); ios::sync_with_stdio( false ); ll f,n,k; cin>>f>>n>>k; vc fact(105); fact[0]=1.0; rep(i,100) fact[i+1]=fact[i]*(i+1); double ans=0; reps(i,f){ double up=(f-i)*1.0/f, down=(i-1)*1.0/f, pre=1.0/f; double p=0; rep(a,k){ irep(b,k-a,n-a+1){ ll c=n-a-b; double x=pow(up,a)*pow(pre,b)*pow(down,c)*(fact[n]/(fact[a]*fact[b]*fact[c])); // printf("%d %d %d %d %.15lf\n", i,a,b,c,x); p+=x; } } ans+=p*i; } printf("%.15lf\n", ans); }