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1. Find the number of subsets and the number of proper subsets of the following sets.
(i) \(W = \{\)red, blue, yellow\(\}\)
Number of subsets \(=\)
Number of proper subsets \(=\)
(ii) \(X = \{x^2
: x \in \mathbb{N} , x^2 ≤ 100\}\)
Number of subsets \(=\)
Number of proper subsets \(=\)
2. (i) If \(n(A) = 4\), find \(n[P(A)]\).
\(n[P(A)]\) \(=\)
(ii) If \(n(A)=0\), find \(n[P(A)]\).
\(n[P(A)]\) \(=\)
(iii) If \(n[P(A)] = 256\), find \(n(A)\).
\(n(A)\) \(=\)
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