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Which one is correct: "There is a few people" because of the A determiner which is singular, or "there are a few people" because of the noun PEOPLE which is plural? Thanks a lot.

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'a few' of anything is a small number. It is greater than one, and thus refers to a plural quantity, thus 'are' is the correct verb form.

few PRONOUN, DETERMINER, & ADJECTIVE

1a few

A small number of.

as determiner ‘may I ask a few questions?’

as pronoun ‘I will recount a few of the stories told me’
‘there are hundreds of applicants but only a few are selected’

Oxford Dictionaries

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