If A = {2, 3} then cardinality of A × A × A is

Question

Question

Answer 1

Concept:

Cardinality: it is the number of the element the set.

Calculation:

Here, A = {2, 3}

A × A = {2, 3} × {2, 3} = {(2, 2), (2, 3), (3, 2), (3, 3)}

A × A × A= {2, 3} × {2, 3} × {2, 3} = {(2, 2), (2, 3), (3, 2), (3, 3)} × {2, 3}

= {(2, 2, 2), (2, 2, 3), (2, 3, 2), (2, 3, 3), (3, 2, 2), (3, 2, 3), (3, 3, 2), (3, 3, 3)}

So, n(A× A× A) = 8

Therefore, cardinality = 8

Hence, option (3) is correct.

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