Three statements are given, followed by ...

Three statements are given, followed by four conclusions. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
1. Some women can cook well.
2. All women who can cook well are dancers.
3. Some dancers are players.
Conclusions:
I. No dancer can cook well.
II. No dancer is a woman.
III. Some players are women.
IV. No player is a woman.

Either conclusion Ill or IV follows.

Both conclusions II and IV follow.

Only conclusion III follows.

Both conclusions and Il follow.

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