Which sentence is correct?
When she is free, she likes playing badminton.
When she is free, she likes to play badminton.

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Sherry is beautiful. She is generous. She likes playing badminton. She enjoys watching movies every Saturday.

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Sherry is beautiful. She is generous. She likes playing badminton. She enjoys watching movies every Saturday. Rewrite these sentences into one sentence using conjunction.

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As the other members have said, both sentences are correct.

It is possible to use either Ving or 'to'+V1 after 'like'. In some cases, there is a difference in meaning, but not in this case: your two sentences have the same meaning.

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Both

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As a native English speaker I feel the second sentence sounds more natural to me but both are fine.

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