UPSKILL MATH PLUS

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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 \(n(A)\).
 
\(n(A)\) \(=\)