You meet three blonde women, A, B, and C. Each of them is either a knight or a liar. Exactly one of them is Elle Woods.

A:I am Elle Woods.

B:I am Elle Woods.

C:At least two of us are liars.

What are A, B, and C, and who is Elle Woods?

(In reply to

Puzzle Answer by K Sengupta)

A and B cannot both be named "Elle Woods" and therefore Knights, the possibilities are:

(A,B) = (knight, liar), (liar, knight), (liar, liar)

Accordingly, at least one amongst A and B must be a liar. ,,,,,,,,,, (i)

Assume that C is a liar. Then his false statement implies that at most one of A, B, and C is a liar.

But, if C is a liar, then from (i) , we observe that at least two of A,B, and C is a liar. Contradiction.

Accordingly, C is a knight and C's true statement implies that each of A and B is a liar and therefore, none of them is named "Elle Woods".

Consequently, C must be Elle Woods, where A and B are both liars and C is a knight.

*Edited on ***February 28, 2022, 12:55 am**