# Math Help - Cardinality

1. ## Cardinality

Show that if sets A and B have the same cardinality,
then P(A) and P(B) have the same cardinality.

2. Originally Posted by kashifzaidi
Show that if sets A and B have the same cardinality,
then P(A) and P(B) have the same cardinality.

$\exists\,\;bijection\,\;f:A\rightarrow B\Longrightarrow$ $F:P(A)\rightarrow P(B)\,,\;\;F(X):=\{f(x)\,;\;x\in X\subset A\}\subset B$ $\,\,is\,\,a\,\,bijection$

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