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Let $X$ be a set of 5 elements. The number $d$ of ordered pairs $(A, B)$ of subsets of $X$ such that $A \neq \phi, B \neq \phi, A \cap B=\phi$ satisfies :
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$151 \leq \mathrm{d} \leq 200$
$20+10 \times 6+5[8+6]+10+20=180$
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