- Precisely one of these statements is untrue.
- Precisely two of these statements are untrue.
- Precisely three of these statements are untrue.
- Precisely four of these statements are untrue.
- Precisely five of these statements are untrue.
- Precisely six of these statements are untrue.
- Precisely seven of these statements are untrue.
- Precisely eight of these statements are untrue.
- Precisely nine of these statements are untrue.
- Precisely ten of these statements are untrue.

## Monday, May 23, 2011

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ReplyDeleteAt most one of the statements can be true, because any two true statements contradict each other. If zero of the statements are true, then statement 10 is true, a contradiction. One statement must be true, the others must be false. Statement 9 is true.

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