(7) If $$ A=\{5,7\} $$, what is the number of all subsets of set $$ A $$ ? $$ \begin{array}{llll} ext { (a) } 2 & ext { (b) } 4 & ext { (c) } 6 & ext { (d) } 8\end{array} $$

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(7) If $$ A=\{5,7\} $$, what is the number of all subsets of set $$ A $$ ? $$ \begin{array}{llll}	ext { (a) } 2 & 	ext { (b) } 4 & 	ext { (c) } 6 & 	ext { (d) } 8\end{array} $$

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The number of subsets of set $$ A $$ is 4. Therefore, the correct answer is (b) 4. To find the number of all subsets of a set, we can use the formula $$ 2^n $$, where $$ n $$ is the number of elements in the set. In this case, the set $$ A = \{5, 7\} $$ has 2 elements. Therefore, we can calculate the number of subsets as follows: $$ 2^n = 2^2 = 4 $$ The subsets of set $$ A $$ are: 1. The empty set: $$ \emptyset $$ 2. The set containing just the first element: $$ \{5\} $$ 3. The set containing just the second element: $$ \{7\} $$ 4. The set containing both elements: $$ \{5, 7\} $$ Thus, the total number of subsets is 4. The answer is $$ \boxed{4} $$.

(7) If \( A=\{5,7\} \), what is the number of all subsets of set \( A \) ? \( \begin{array}{llll}\text { (a) } 2 & \text { (b) } 4 & \text { (c) } 6 & \text { (d) } 8\end{array} \)

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(7) If \( A=\{5,7\} \), what is the number of all subsets of set \( A \) ? \( \begin{array}{llll}\text { (a) } 2 & \text { (b) } 4 & \text { (c) } 6 & \text { (d) } 8\end{array} \)

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