Problem #PRU-102852

Problems Discrete Mathematics Set theory and logic Mathematical logic Mathematical logic (other)

Problem

We are looking for the correct statement. In a notebook one hundred statements are written:

1) There is exactly one false statement in this notebook.

2) There are exactly two false statements in this notebook.

...

100) There are exactly one hundred false statements in this notebook.

Which of these statements is true, if it is known that only one is true?