2. (20%) Consider the following sets:
X = \{2,3,4\}
Y = \{2,4,6,8\}
(a) Determine the sets $P(X)$ and $P(Y)$.
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(b) Is $P(X) \subseteq P(Y)$? Why or why not? Explain in detail.
(c) Construct a set Z so that $P(Z) \subset P(X)$ and $P(Z) \subset P(Y)$.