'nuther Riddle

Which of these statements are TRUE? (...hat tip to "futilitycloset" for this)

1. Exactly one of these statements is false.
2. Exactly two of these statements are false.
3. Exactly three of these statements are false.
4. Exactly four of these statements are false.
5. Exactly five of these statements are false.
6. Exactly six of these statements are false.
7. Exactly seven of these statements are false.
8. Exactly eight of these statements are false.
9. Exactly nine of these statements are false.
10. Exactly ten of these statements are false.

answer below:
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The only TRUE statement is #9:
"Exactly nine of these statements are false."