# I gave it a little complexity!

**Discrete Mathematics**Level 4

\[\large Q=\{ 1,7,2,9 \}\]

**a).** Total number of subsets of \(P(Q)\) is more than \(1729\).

**b).** Number of subsets of \(Q\)= Cardinal no. of \(P(Q)\).

**c).** There exist some \(t\) such that \(t \in P(Q) \ \text{and} \ t \subseteq P(Q)\).

**d).** If \(y \in P(Q) \implies y \subseteq Q\)

**e).** Number. of elements common in \(Q\) and \(P(Q)\) is \(0.\)

**f).** Number. of set(s) which is(are) subsets of both \(Q\) and \(P(Q)\) is \(0.\)

**Which of the above statements are correct?**

**Note :** \(P(Q)\) represents the Power Set (Set of all the subsets of the given set) of \(Q\).