Knights and Knaves
Logic
On an island, knights always tell the truth and knaves always lie. Five islanders A, B, C, D, E each make one statement.
• [A:] "Exactly one of us is a knight."
• [B:] "Exactly two of us are knights.''
• [C:] "Exactly three of us are knights.'
• [ D:] "Exactly four of us are knights.''
• [E:] "All five of us are knaves.''
How many of the five are knights?