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Why does it make sense to multiply the TF of a term by the IDF of a term, when computing a vectorized representation of a

Why does it make sense to multiply the "TF" of a term by the "IDF" of a term, when computing a vectorized representation of a document? (MULTIPLE ANSWER)

A. Term frequency alone does not take into account the number of words that appear in a document.

B. If a term that appears frequently in a document appears in many documents, it is more remarkable than if a term that appears frequently in a document appears in a few documents

C. If a term that appears frequently in a document appears in a few documents, it is more remarkable than if a term that appears frequently in a document appears in many documents.

D. None of the above

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