Here are ten statements. Which ones are true? Which ones are false?

Exactly one of these statements is false.

Exactly two of these statements are false.

Exactly three of these statements are false.

Exactly four of these statements are false.

Exactly five of these statements are false.

Exactly six of these statements are false.

Exactly seven of these statements are false.

Exactly eight of these statements are false.

Exactly nine of these statements are false.

Exactly ten of these statements are false.

Exactly two of these statements are false.

Exactly three of these statements are false.

Exactly four of these statements are false.

Exactly five of these statements are false.

Exactly six of these statements are false.

Exactly seven of these statements are false.

Exactly eight of these statements are false.

Exactly nine of these statements are false.

Exactly ten of these statements are false.

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