f, n, k = gets.split.map &:to_i
Fac = [1]
(1..100).each{|i| Fac[i] = Fac[i-1] * i}
def comb(n, k)
  Fac[n] / Fac[k] / Fac[n-k]
end
ans = 0
total = 0
(1..f).each do |_f|
  s = 0
  pu = [1]
  pd = [1]
  (1..n).each do |i|
    pu[i] = pu[i-1] * (f - _f)
    pd[i] = pd[i-1] * (_f - 1)
  end
  (0...k).each do |ku|
    (0...(n-k+1)).each do |kd|
      s += Fac[n] / Fac[ku] / Fac[kd] / Fac[n-ku-kd] * pu[ku] * pd[kd]
    end
  end
  total += s
  ans += s * _f
end
puts (ans.to_r/total).to_f