1. Annie is a popular female hocky player.

2. Annie is a popular woman hocky player.
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Are both OK? Which one is commonly used?

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3. Sam is a popular male hocky player.
4. Sam is a popular man hocky player.
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What about these sentences? Which one is common? Can we use #4?

All are correct.

Thank you....

1. He is a man player.
2. He is a man baseball player.
3. He is a man soccer player.
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Are the expressions grammatical?

We don't use "man" in these sentences. It's enough to say "he."

1. "Annie is a popular female hockey player."

2. "Annie is a popular woman hockey player."

Both sentences are grammatically correct, but the more commonly used construction is the first sentence: "Annie is a popular female hockey player." The term "female" is generally preferred when referring to the gender of a person participating in a sport.

3. "Sam is a popular male hockey player."
4. "Sam is a popular man hockey player."

Again, both sentences are grammatically correct, but the more common and natural construction is the first sentence: "Sam is a popular male hockey player." When discussing someone's gender, it is more usual to use the term "male" rather than "man." Therefore, sentence #4 ("Sam is a popular man hockey player") is not commonly used.