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Charlie’s Birthday

Charlie presents a list of 14 possible dates for his birthday to Albert, Bernard, and Cheryl.

Apr 14, 1999
Feb 19, 2000
Mar 14, 2000
Mar 15, 2000
Apr 16, 2000
Apr 15, 2000
Feb 15, 2001
Mar 15, 2001
Apr 14, 2001
Apr 16, 2001
May 14, 2001
May 16, 2001
May 17, 2001
Feb 17, 2002

He then announces that he is going to tell Albert the month, Bernard the day, and Cheryl the year.

After he tells them, Albert says, “I don’t know Charlie’s birthday, but neither does Bernard.”

Bernard then says, “That is true, but Cheryl also does not know Charlie’s birthday.”

Cheryl says, “Yes, and Albert still has not figured out Charlie’s birthday.”

Bernard then replies, “Well, now I know his birthday.”

At this point, Albert says, “Yes, we all know it now.”

What is Charlie’s birthday?
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Hmm, I was able to eliminate about half the list, but I don't see how clue 3-5 help us any further. 🤔