Hola buenas noches, quisiera saber si estos ejercicios me quedaron bien. Gracias
Sean \( A=\left\{{1,2,3,4,5,6,7,8,9,10}\right\} \), \( B=\left\{{2,3,5,7,11,13,17,19}\right\} \). Determine:
\( \left |{A\times{B}}\right | \) = 80
\( \left |{P(A)\cap{P(B)}}\right | \) = \( 2^4 \)
\( \left |{P(A\times{B})}\right | \) = \( 2^{80} \)
\( \left |{P(P(P(A)))}\right | \) = \( 2^{2^{2^{10}}} \)
\( \left |{P(A\times{P(B)})}\right | \) = \( \left |{10\times{2^{2^{8}}}}\right | \)
\( \left |{P_3(A\times{B})}\right | \) = \( \left(\begin{array}{c}80\\ 3\end{array}\right) \)