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$$ N(\overlinea_1 \overlinea_2 \dots \overlinea_n) = N - S_1 + S_2 - S_3 + \dots + (-1)^n S_n $$

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Where $S_j$ is the sum of the counts of elements having $j$ properties. $$ N(\overlinea_1 \overlinea_2 \dots \overlinea_n) = N -