If n(A) = 3 and n(B) = 4, Find n(A × A × B)

If n(A) = 3 and n(B) = 4, Find n(A × A × B)

Question

If

\[ n(A)=3,\quad n(B)=4, \]

then write

\[ n(A\times A\times B) \]

Solution

\[ n(A\times A\times B)=n(A)\times n(A)\times n(B) \]

\[ =3\times3\times4 \]

\[ =36 \]

Hence,

\[ \boxed{36} \]

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