(B) For a set with $n$ elements,the number of subsets is $2^n$. Here,the set is $\{a, b\}$,which has $n = 2$ elements. Therefore,the number of subsets

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$\varnothing, \{a\}, \{b\}, \{a, b\}$

(B) For a set with $n$ elements,the number of subsets is $2^n$. Here,the set is $\{a, b\}$,which has $n = 2$ elements. Therefore,the number of subsets is $2^2 = 4$. The subsets are: $1. \varnothing$ (the empty set) $2. \{a\}$ $3. \{b\}$ $4. \{a, b\}$ (the set itself)