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Legally Blonde 2 (Posted on 2021-09-13) Difficulty: 2 of 5
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?

No Solution Yet Submitted by Math Man    
Rating: 3.6667 (3 votes)

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Solution Better Late than Never Comment 4 of 4 |
There are three names and three women. It's not possible for exactly two of those names to be wrong -- either a pair are swapped or all three are shifted.

If Red lies, then there's exactly one liar (Red), and if Red tells the truth, there are exactly two liars (White and Blonde). But if only Red lies then we'd have the impossible situation of two of the three names being associated with the correct women and the third somehow incorrect. So Red was telling the truth (and White and Blonde lie)

That makes Red Michelle, and White Gabrielle and Blonde Danielle.

  Posted by Paul on 2022-03-07 11:41:44
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