import sys readline=sys.stdin.readline F,N,K=map(int,readline().split()) fact=[1] for i in range(1,N+1): fact.append(fact[-1]*i) K=N-K ans=0 for i in range(K+1): for j in range(K+1,N+1): for f in range(F): ans+=pow(f,i)*pow(F-f-1,N-j)*(f+1)/(fact[i]*fact[j-i]*fact[N-j]) ans*=fact[N] ans/=pow(F,N) print(ans)