You meet three women. Each of them is either a knight or a liar. One of them has red hair, one has white hair, and one has blonde hair. One of them is named Michelle, one is named Danielle, and one is named Gabrielle.
Red hair:I am Michelle.
White hair:I am Danielle.
Blonde hair:I am Gabrielle.
Red hair:At least two of us are liars.
What are the names and types of each woman?
(In reply to
re: soln by Math Man)
Ah, well, an analytic solution? I guess the best I can do is give my logical steps.
If we set the order in all my comments as RBW, with "?" a placeholder, then the 4th statement implies: either LKK or KLL.
Trying LKK, we find there is no way statements 1 through 3 can apply: The Redhead is lying, so we have either ?M? or ??M, while the White and Blond truths together give MGD, and so LKK is not the case.
Trying KLL, Redhead is telling the truth, so we have M?? and the
two liars must make it MDG.
RBW=KLL=MDG
(I hope that is what you were looking for.)
Edited on September 19, 2021, 10:03 pm