WHAT IS THE CARDINALITY OF {a,{a},{a,{a}}}

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The cardinality of any finite set is just the number of its elements. The elements of the set $\{a,\{a\},\{a,\{a\}\}\}$ are:

$a$
$\{a\}$
$\{a,\{a\}\}$

So the cardinality is $|\{a,\{a\},\{a,\{a\}\}\}|=3.$

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Question ID: mtid-5-stid-8-sqid-3642-qpid-2341