S
shutdown23 June 2011If more than choice is allowed, here is my guess.
{a,b,c,d,e,f} {a,b,c,d,f,e} {a,b,c,e,d,f} {a,b,c,e,f,d} {a,b,c,f,d,e} {a,b,c,f,e,d} {a,b,d,c,e,f} {a,b,d,c,f,e} {a,b,d,e,c,f} {a,b,d,e,f,c} {a,b,d,f,c,e} {a,b,d,f,e,c} {a,b,e,c,d,f} {a,b,e,c,f,d} {a,b,e,d,c,f} {a,b,e,d,f,c} {a,b,e,f,c,d} {a,b,e,f,d,c} {a,b,f,c,d,e} {a,b,f,c,e,d} {a,b,f,d,c,e} {a,b,f,d,e,c} {a,b,f,e,c,d} {a,b,f,e,d,c} {a,c,b,d,e,f} {a,c,b,d,f,e} {a,c,b,e,d,f} {a,c,b,e,f,d} {a,c,b,f,d,e} {a,c,b,f,e,d} {a,c,d,b,e,f} {a,c,d,b,f,e} {a,c,d,e,b,f} {a,c,d,e,f,b} {a,c,d,f,b,e} {a,c,d,f,e,b} {a,c,e,b,d,f} {a,c,e,b,f,d} {a,c,e,d,b,f} {a,c,e,d,f,b} {a,c,e,f,b,d} {a,c,e,f,d,b} {a,c,f,b,d,e} {a,c,f,b,e,d} {a,c,f,d,b,e} {a,c,f,d,e,b} {a,c,f,e,b,d} {a,c,f,e,d,b} {a,d,b,c,e,f} {a,d,b,c,f,e} {a,d,b,e,c,f} {a,d,b,e,f,c} {a,d,b,f,c,e} {a,d,b,f,e,c} {a,d,c,b,e,f} {a,d,c,b,f,e} {a,d,c,e,b,f} {a,d,c,e,f,b} {a,d,c,f,b,e} {a,d,c,f,e,b} {a,d,e,b,c,f} {a,d,e,b,f,c} {a,d,e,c,b,f} {a,d,e,c,f,b} {a,d,e,f,b,c} {a,d,e,f,c,b} {a,d,f,b,c,e} {a,d,f,b,e,c} {a,d,f,c,b,e} {a,d,f,c,e,b} {a,d,f,e,b,c} {a,d,f,e,c,b} {a,e,b,c,d,f} {a,e,b,c,f,d} {a,e,b,d,c,f} {a,e,b,d,f,c} {a,e,b,f,c,d} {a,e,b,f,d,c} {a,e,c,b,d,f} {a,e,c,b,f,d} {a,e,c,d,b,f} {a,e,c,d,f,b} {a,e,c,f,b,d} {a,e,c,f,d,b} {a,e,d,b,c,f} {a,e,d,b,f,c} {a,e,d,c,b,f} {a,e,d,c,f,b} {a,e,d,f,b,c} {a,e,d,f,c,b} {a,e,f,b,c,d} {a,e,f,b,d,c} {a,e,f,c,b,d} {a,e,f,c,d,b} {a,e,f,d,b,c} {a,e,f,d,c,b} {a,f,b,c,d,e} {a,f,b,c,e,d} {a,f,b,d,c,e} {a,f,b,d,e,c} {a,f,b,e,c,d} {a,f,b,e,d,c} {a,f,c,b,d,e} {a,f,c,b,e,d} {a,f,c,d,b,e} {a,f,c,d,e,b} {a,f,c,e,b,d} {a,f,c,e,d,b} {a,f,d,b,c,e} {a,f,d,b,e,c} {a,f,d,c,b,e} {a,f,d,c,e,b} {a,f,d,e,b,c} {a,f,d,e,c,b} {a,f,e,b,c,d} {a,f,e,b,d,c} {a,f,e,c,b,d} {a,f,e,c,d,b} {a,f,e,d,b,c} {a,f,e,d,c,b} {b,a,c,d,e,f} {b,a,c,d,f,e} {b,a,c,e,d,f} {b,a,c,e,f,d} {b,a,c,f,d,e} {b,a,c,f,e,d} {b,a,d,c,e,f} {b,a,d,c,f,e} {b,a,d,e,c,f} {b,a,d,e,f,c} {b,a,d,f,c,e} {b,a,d,f,e,c} {b,a,e,c,d,f} {b,a,e,c,f,d} {b,a,e,d,c,f} {b,a,e,d,f,c} {b,a,e,f,c,d} {b,a,e,f,d,c} {b,a,f,c,d,e} {b,a,f,c,e,d} {b,a,f,d,c,e} {b,a,f,d,e,c} {b,a,f,e,c,d} {b,a,f,e,d,c} {b,c,a,d,e,f} {b,c,a,d,f,e} {b,c,a,e,d,f} {b,c,a,e,f,d} {b,c,a,f,d,e} {b,c,a,f,e,d} {b,c,d,a,e,f} {b,c,d,a,f,e} {b,c,d,e,a,f} {b,c,d,e,f,a} {b,c,d,f,a,e} {b,c,d,f,e,a} {b,c,e,a,d,f} {b,c,e,a,f,d} {b,c,e,d,a,f} {b,c,e,d,f,a} {b,c,e,f,a,d} {b,c,e,f,d,a} {b,c,f,a,d,e} {b,c,f,a,e,d} {b,c,f,d,a,e} {b,c,f,d,e,a} {b,c,f,e,a,d} {b,c,f,e,d,a} {b,d,a,c,e,f} {b,d,a,c,f,e} {b,d,a,e,c,f} {b,d,a,e,f,c} {b,d,a,f,c,e} {b,d,a,f,e,c} {b,d,c,a,e,f} {b,d,c,a,f,e} {b,d,c,e,a,f} {b,d,c,e,f,a} {b,d,c,f,a,e} {b,d,c,f,e,a} {b,d,e,a,c,f} {b,d,e,a,f,c} {b,d,e,c,a,f} {b,d,e,c,f,a} {b,d,e,f,a,c} {b,d,e,f,c,a} {b,d,f,a,c,e} {b,d,f,a,e,c} {b,d,f,c,a,e} {b,d,f,c,e,a} {b,d,f,e,a,c} {b,d,f,e,c,a} {b,e,a,c,d,f} {b,e,a,c,f,d} {b,e,a,d,c,f} {b,e,a,d,f,c} {b,e,a,f,c,d} {b,e,a,f,d,c} {b,e,c,a,d,f} {b,e,c,a,f,d} {b,e,c,d,a,f} {b,e,c,d,f,a} {b,e,c,f,a,d} {b,e,c,f,d,a} {b,e,d,a,c,f} {b,e,d,a,f,c} {b,e,d,c,a,f} {b,e,d,c,f,a} {b,e,d,f,a,c} {b,e,d,f,c,a} {b,e,f,a,c,d} {b,e,f,a,d,c} {b,e,f,c,a,d} {b,e,f,c,d,a} {b,e,f,d,a,c} {b,e,f,d,c,a} {b,f,a,c,d,e} {b,f,a,c,e,d} {b,f,a,d,c,e} {b,f,a,d,e,c} {b,f,a,e,c,d} {b,f,a,e,d,c} {b,f,c,a,d,e} {b,f,c,a,e,d} {b,f,c,d,a,e} {b,f,c,d,e,a} {b,f,c,e,a,d} {b,f,c,e,d,a} {b,f,d,a,c,e} {b,f,d,a,e,c} {b,f,d,c,a,e} {b,f,d,c,e,a} {b,f,d,e,a,c} {b,f,d,e,c,a} {b,f,e,a,c,d} {b,f,e,a,d,c} {b,f,e,c,a,d} {b,f,e,c,d,a} {b,f,e,d,a,c} {b,f,e,d,c,a} {c,a,b,d,e,f} {c,a,b,d,f,e} {c,a,b,e,d,f} {c,a,b,e,f,d} {c,a,b,f,d,e} {c,a,b,f,e,d} {c,a,d,b,e,f} {c,a,d,b,f,e} {c,a,d,e,b,f} {c,a,d,e,f,b} {c,a,d,f,b,e} {c,a,d,f,e,b} {c,a,e,b,d,f} {c,a,e,b,f,d} {c,a,e,d,b,f} {c,a,e,d,f,b} {c,a,e,f,b,d} {c,a,e,f,d,b} {c,a,f,b,d,e} {c,a,f,b,e,d} {c,a,f,d,b,e} {c,a,f,d,e,b} {c,a,f,e,b,d} {c,a,f,e,d,b} {c,b,a,d,e,f} {c,b,a,d,f,e} {c,b,a,e,d,f} {c,b,a,e,f,d} {c,b,a,f,d,e} {c,b,a,f,e,d} {c,b,d,a,e,f} {c,b,d,a,f,e} {c,b,d,e,a,f} {c,b,d,e,f,a} {c,b,d,f,a,e} {c,b,d,f,e,a} {c,b,e,a,d,f} {c,b,e,a,f,d} {c,b,e,d,a,f} {c,b,e,d,f,a} {c,b,e,f,a,d} {c,b,e,f,d,a} {c,b,f,a,d,e} {c,b,f,a,e,d} {c,b,f,d,a,e} {c,b,f,d,e,a} {c,b,f,e,a,d} {c,b,f,e,d,a} {c,d,a,b,e,f} {c,d,a,b,f,e} {c,d,a,e,b,f} {c,d,a,e,f,b} {c,d,a,f,b,e} {c,d,a,f,e,b} {c,d,b,a,e,f} {c,d,b,a,f,e} {c,d,b,e,a,f} {c,d,b,e,f,a} {c,d,b,f,a,e} {c,d,b,f,e,a} {c,d,e,a,b,f} {c,d,e,a,f,b} {c,d,e,b,a,f} {c,d,e,b,f,a} {c,d,e,f,a,b} {c,d,e,f,b,a} {c,d,f,a,b,e} {c,d,f,a,e,b} {c,d,f,b,a,e} {c,d,f,b,e,a} {c,d,f,e,a,b} {c,d,f,e,b,a} {c,e,a,b,d,f} {c,e,a,b,f,d} {c,e,a,d,b,f} {c,e,a,d,f,b} {c,e,a,f,b,d} {c,e,a,f,d,b} {c,e,b,a,d,f} {c,e,b,a,f,d} {c,e,b,d,a,f} {c,e,b,d,f,a} {c,e,b,f,a,d} {c,e,b,f,d,a} {c,e,d,a,b,f} {c,e,d,a,f,b} {c,e,d,b,a,f} {c,e,d,b,f,a} {c,e,d,f,a,b} {c,e,d,f,b,a} {c,e,f,a,b,d} {c,e,f,a,d,b} {c,e,f,b,a,d} {c,e,f,b,d,a} {c,e,f,d,a,b} {c,e,f,d,b,a} {c,f,a,b,d,e} {c,f,a,b,e,d} {c,f,a,d,b,e} {c,f,a,d,e,b} {c,f,a,e,b,d} {c,f,a,e,d,b} {c,f,b,a,d,e} {c,f,b,a,e,d} {c,f,b,d,a,e} {c,f,b,d,e,a} {c,f,b,e,a,d} {c,f,b,e,d,a} {c,f,d,a,b,e} {c,f,d,a,e,b} {c,f,d,b,a,e} {c,f,d,b,e,a} {c,f,d,e,a,b} {c,f,d,e,b,a} {c,f,e,a,b,d} {c,f,e,a,d,b} {c,f,e,b,a,d} {c,f,e,b,d,a} {c,f,e,d,a,b} {c,f,e,d,b,a} {d,a,b,c,e,f} {d,a,b,c,f,e} {d,a,b,e,c,f} {d,a,b,e,f,c} {d,a,b,f,c,e} {d,a,b,f,e,c} {d,a,c,b,e,f} {d,a,c,b,f,e} {d,a,c,e,b,f} {d,a,c,e,f,b} {d,a,c,f,b,e} {d,a,c,f,e,b} {d,a,e,b,c,f} {d,a,e,b,f,c} {d,a,e,c,b,f} {d,a,e,c,f,b} {d,a,e,f,b,c} {d,a,e,f,c,b} {d,a,f,b,c,e} {d,a,f,b,e,c} {d,a,f,c,b,e} {d,a,f,c,e,b} {d,a,f,e,b,c} {d,a,f,e,c,b} {d,b,a,c,e,f} {d,b,a,c,f,e} {d,b,a,e,c,f} {d,b,a,e,f,c} {d,b,a,f,c,e} {d,b,a,f,e,c} {d,b,c,a,e,f} {d,b,c,a,f,e} {d,b,c,e,a,f} {d,b,c,e,f,a} {d,b,c,f,a,e} {d,b,c,f,e,a} {d,b,e,a,c,f} {d,b,e,a,f,c} {d,b,e,c,a,f} {d,b,e,c,f,a} {d,b,e,f,a,c} {d,b,e,f,c,a} {d,b,f,a,c,e} {d,b,f,a,e,c} {d,b,f,c,a,e} {d,b,f,c,e,a} {d,b,f,e,a,c} {d,b,f,e,c,a} {d,c,a,b,e,f} {d,c,a,b,f,e} {d,c,a,e,b,f} {d,c,a,e,f,b} {d,c,a,f,b,e} {d,c,a,f,e,b} {d,c,b,a,e,f} {d,c,b,a,f,e} {d,c,b,e,a,f} {d,c,b,e,f,a} {d,c,b,f,a,e} {d,c,b,f,e,a} {d,c,e,a,b,f} {d,c,e,a,f,b} {d,c,e,b,a,f} {d,c,e,b,f,a} {d,c,e,f,a,b} {d,c,e,f,b,a} {d,c,f,a,b,e} {d,c,f,a,e,b} {d,c,f,b,a,e} {d,c,f,b,e,a} {d,c,f,e,a,b} {d,c,f,e,b,a} {d,e,a,b,c,f} {d,e,a,b,f,c} {d,e,a,c,b,f} {d,e,a,c,f,b} {d,e,a,f,b,c} {d,e,a,f,c,b} {d,e,b,a,c,f} {d,e,b,a,f,c} {d,e,b,c,a,f} {d,e,b,c,f,a} {d,e,b,f,a,c} {d,e,b,f,c,a} {d,e,c,a,b,f} {d,e,c,a,f,b} {d,e,c,b,a,f} {d,e,c,b,f,a} {d,e,c,f,a,b} {d,e,c,f,b,a} {d,e,f,a,b,c} {d,e,f,a,c,b} {d,e,f,b,a,c} {d,e,f,b,c,a} {d,e,f,c,a,b} {d,e,f,c,b,a} {d,f,a,b,c,e} {d,f,a,b,e,c} {d,f,a,c,b,e} {d,f,a,c,e,b} {d,f,a,e,b,c} {d,f,a,e,c,b} {d,f,b,a,c,e} {d,f,b,a,e,c} {d,f,b,c,a,e} {d,f,b,c,e,a} {d,f,b,e,a,c} {d,f,b,e,c,a} {d,f,c,a,b,e} {d,f,c,a,e,b} {d,f,c,b,a,e} {d,f,c,b,e,a} {d,f,c,e,a,b} {d,f,c,e,b,a} {d,f,e,a,b,c} {d,f,e,a,c,b} {d,f,e,b,a,c} {d,f,e,b,c,a} {d,f,e,c,a,b} {d,f,e,c,b,a} {e,a,b,c,d,f} {e,a,b,c,f,d} {e,a,b,d,c,f} {e,a,b,d,f,c} {e,a,b,f,c,d} {e,a,b,f,d,c} {e,a,c,b,d,f} {e,a,c,b,f,d} {e,a,c,d,b,f} {e,a,c,d,f,b} {e,a,c,f,b,d} {e,a,c,f,d,b} {e,a,d,b,c,f} {e,a,d,b,f,c} {e,a,d,c,b,f} {e,a,d,c,f,b} {e,a,d,f,b,c} {e,a,d,f,c,b} {e,a,f,b,c,d} {e,a,f,b,d,c} {e,a,f,c,b,d} {e,a,f,c,d,b} {e,a,f,d,b,c} {e,a,f,d,c,b} {e,b,a,c,d,f} {e,b,a,c,f,d} {e,b,a,d,c,f} {e,b,a,d,f,c} {e,b,a,f,c,d} {e,b,a,f,d,c} {e,b,c,a,d,f} {e,b,c,a,f,d} {e,b,c,d,a,f} {e,b,c,d,f,a} {e,b,c,f,a,d} {e,b,c,f,d,a} {e,b,d,a,c,f} {e,b,d,a,f,c} {e,b,d,c,a,f} {e,b,d,c,f,a} {e,b,d,f,a,c} {e,b,d,f,c,a} {e,b,f,a,c,d} {e,b,f,a,d,c} {e,b,f,c,a,d} {e,b,f,c,d,a} {e,b,f,d,a,c} {e,b,f,d,c,a} {e,c,a,b,d,f} {e,c,a,b,f,d} {e,c,a,d,b,f} {e,c,a,d,f,b} {e,c,a,f,b,d} {e,c,a,f,d,b} {e,c,b,a,d,f} {e,c,b,a,f,d} {e,c,b,d,a,f} {e,c,b,d,f,a} {e,c,b,f,a,d} {e,c,b,f,d,a} {e,c,d,a,b,f} {e,c,d,a,f,b} {e,c,d,b,a,f} {e,c,d,b,f,a} {e,c,d,f,a,b} {e,c,d,f,b,a} {e,c,f,a,b,d} {e,c,f,a,d,b} {e,c,f,b,a,d} {e,c,f,b,d,a} {e,c,f,d,a,b} {e,c,f,d,b,a} {e,d,a,b,c,f} {e,d,a,b,f,c} {e,d,a,c,b,f} {e,d,a,c,f,b} {e,d,a,f,b,c} {e,d,a,f,c,b} {e,d,b,a,c,f} {e,d,b,a,f,c} {e,d,b,c,a,f} {e,d,b,c,f,a} {e,d,b,f,a,c} {e,d,b,f,c,a} {e,d,c,a,b,f} {e,d,c,a,f,b} {e,d,c,b,a,f} {e,d,c,b,f,a} {e,d,c,f,a,b} {e,d,c,f,b,a} {e,d,f,a,b,c} {e,d,f,a,c,b} {e,d,f,b,a,c} {e,d,f,b,c,a} {e,d,f,c,a,b} {e,d,f,c,b,a} {e,f,a,b,c,d} {e,f,a,b,d,c} {e,f,a,c,b,d} {e,f,a,c,d,b} {e,f,a,d,b,c} {e,f,a,d,c,b} {e,f,b,a,c,d} {e,f,b,a,d,c} {e,f,b,c,a,d} {e,f,b,c,d,a} {e,f,b,d,a,c} {e,f,b,d,c,a} {e,f,c,a,b,d} {e,f,c,a,d,b} {e,f,c,b,a,d} {e,f,c,b,d,a} {e,f,c,d,a,b} {e,f,c,d,b,a} {e,f,d,a,b,c} {e,f,d,a,c,b} {e,f,d,b,a,c} {e,f,d,b,c,a} {e,f,d,c,a,b} {e,f,d,c,b,a} {f,a,b,c,d,e} {f,a,b,c,e,d} {f,a,b,d,c,e} {f,a,b,d,e,c} {f,a,b,e,c,d} {f,a,b,e,d,c} {f,a,c,b,d,e} {f,a,c,b,e,d} {f,a,c,d,b,e} {f,a,c,d,e,b} {f,a,c,e,b,d} {f,a,c,e,d,b} {f,a,d,b,c,e} {f,a,d,b,e,c} {f,a,d,c,b,e} {f,a,d,c,e,b} {f,a,d,e,b,c} {f,a,d,e,c,b} {f,a,e,b,c,d} {f,a,e,b,d,c} {f,a,e,c,b,d} {f,a,e,c,d,b} {f,a,e,d,b,c} {f,a,e,d,c,b} {f,b,a,c,d,e} {f,b,a,c,e,d} {f,b,a,d,c,e} {f,b,a,d,e,c} {f,b,a,e,c,d} {f,b,a,e,d,c} {f,b,c,a,d,e} {f,b,c,a,e,d} {f,b,c,d,a,e} {f,b,c,d,e,a} {f,b,c,e,a,d} {f,b,c,e,d,a} {f,b,d,a,c,e} {f,b,d,a,e,c} {f,b,d,c,a,e} {f,b,d,c,e,a} {f,b,d,e,a,c} {f,b,d,e,c,a} {f,b,e,a,c,d} {f,b,e,a,d,c} {f,b,e,c,a,d} {f,b,e,c,d,a} {f,b,e,d,a,c} {f,b,e,d,c,a} {f,c,a,b,d,e} {f,c,a,b,e,d} {f,c,a,d,b,e} {f,c,a,d,e,b} {f,c,a,e,b,d} {f,c,a,e,d,b} {f,c,b,a,d,e} {f,c,b,a,e,d} {f,c,b,d,a,e} {f,c,b,d,e,a} {f,c,b,e,a,d} {f,c,b,e,d,a} {f,c,d,a,b,e} {f,c,d,a,e,b} {f,c,d,b,a,e} {f,c,d,b,e,a} {f,c,d,e,a,b} {f,c,d,e,b,a} {f,c,e,a,b,d} {f,c,e,a,d,b} {f,c,e,b,a,d} {f,c,e,b,d,a} {f,c,e,d,a,b} {f,c,e,d,b,a} {f,d,a,b,c,e} {f,d,a,b,e,c} {f,d,a,c,b,e} {f,d,a,c,e,b} {f,d,a,e,b,c} {f,d,a,e,c,b} {f,d,b,a,c,e} {f,d,b,a,e,c} {f,d,b,c,a,e} {f,d,b,c,e,a} {f,d,b,e,a,c} {f,d,b,e,c,a} {f,d,c,a,b,e} {f,d,c,a,e,b} {f,d,c,b,a,e} {f,d,c,b,e,a} {f,d,c,e,a,b} {f,d,c,e,b,a} {f,d,e,a,b,c} {f,d,e,a,c,b} {f,d,e,b,a,c} {f,d,e,b,c,a} {f,d,e,c,a,b} {f,d,e,c,b,a} {f,e,a,b,c,d} {f,e,a,b,d,c} {f,e,a,c,b,d} {f,e,a,c,d,b} {f,e,a,d,b,c} {f,e,a,d,c,b} {f,e,b,a,c,d} {f,e,b,a,d,c} {f,e,b,c,a,d} {f,e,b,c,d,a} {f,e,b,d,a,c} {f,e,b,d,c,a} {f,e,c,a,b,d} {f,e,c,a,d,b} {f,e,c,b,a,d} {f,e,c,b,d,a} {f,e,c,d,a,b} {f,e,c,d,b,a} {f,e,d,a,b,c} {f,e,d,a,c,b} {f,e,d,b,a,c} {f,e,d,b,c,a} {f,e,d,c,a,b} {f,e,d,c,b,a}