Correct sentence: Let you, him, and me solve the problem together.
Rule:
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After verbs other than “to be”, use the objective form of pronouns (e.g., me, him, her, us)
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Let is a verb, so it is always followed by objective pronouns
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When multiple pronouns appear, the usual order is 2‑3‑1 (second person → third person → first person)
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Exception: In admitting fault, the order may be 1‑2‑3
Application:
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After Let, the pronouns are you, him, and me, following the 2‑3‑1 rule
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Therefore, the correct sentence is:
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Let you, him, and me solve the problem together.
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