Certainly! Here are the correct determiners for each sentence:
1) The poor man received much help from my father.
Explanation: "Much" is used to refer to an uncountable noun like "help."
2) A busy person has little time to waste.
Explanation: "Little" is used to indicate a small amount of time in this context.
3) I met a European lady yesterday.
Explanation: "A" is used before a singular noun starting with a consonant sound.
4) The man donated the money he had to the fund.
Explanation: "The" is used when referring to a specific amount of money previously mentioned.
5) I don't get much time for the practice of singing.
Explanation: "Much" is used with uncountable nouns like "time."
6) The story is very interesting.
Explanation: "Very" is used to intensify the adjective "interesting."
By using the correct determiners in each sentence, you can accurately convey the intended meaning and improve the overall clarity and correctness of your sentences.