Find a bijection to show $\left|B\right| = \mathfrak{c}$. Let $B = \left\{ A \cup \mathbb{N}_\text{even} : A\subseteq \mathbb{N}_\text{odd} \right\}$
I need to show  $\left|B\right| = \mathfrak{c}$ by using an equivalence function (bijection) to another set with the same cardinality.
Any idea?
Thanks.

HINT: Note that there is a bijection between $B$ and $\mathcal P(\Bbb N_{\rm odd})$.
