Question
One day, Harry Potter found a strange notebook in which the following one hundred sentences were written:
"In this notebook, there is exactly one sentence that is false."
"In this notebook, there are exactly two sentences that are false."
"In this notebook, there are exactly three sentences that are false."
...
"In this notebook, there are exactly one hundred sentences that are false."
Are there any true sentences in this notebook, and if so, how many? Justify your answer!
Difficulty level (1 very easy - 10 very hard): 2
Topics:
Combinatorics
->
Case Analysis / Checking Cases
->
Processes / Procedures
Proof and Example
->
Proof by Contradiction
Logic
->
Truth-tellers and Liars Problems
Logic
->
Reasoning / Logic
->
Paradoxes
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