For the following compounds, the correct statement(s) with respect to nucleophilic substitution ...

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For the following compounds, the correct statement(s) with respect to nucleophilic substitution reaction is(are)
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(a) Compound IV undergoes inversion of configuration
(b) The order of reactivity for I, III and IV is : IV > I \( > \) III
(c) I and III follow \( S_{\mathrm{N}} 1 \) mechanism
(d) I and II follow \( S_{\mathrm{N}} 1 \) mechanism
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