Consider the Venn diagram shown below.

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Determine the following cardinalities.
$\displaystyle {n}{\left({A}\right)}=$
$\displaystyle {n}{\left(\overline{{{C}}}\right)}=$
$\displaystyle {n}{\left({A}\cap{C}\right)}=$
$\displaystyle {n}{\left({A}\cup{B}\right)}=$
$\displaystyle {n}{\left({A}\cup{B}\cup{C}\right)}=$
$\displaystyle {n}{\left({A}\cap{B}\cap{C}\right)}=$