An emply set is subet of any [ B={1,2,3,4) ] Fod the power set B [ int_(0)^infty ]

The power set of a set \( B \) is the set of all possible subsets of \( B \), including the empty set and \( B \) itself. In this case, the set \( B \) is \( \{1, 2, 3, 4\} \).<br /><br />To find the power set of \( B \), we need to list all possible combinations of the elements in \( B \), including the empty set and \( B \) itself.<br /><br />The power set of \( B \) is:<br />\[ \{\emptyset, \{1\}, \{2\}, \{3\}, \{4\}, \{1, 2\}, \{1, 3\}, \{1, 4\}, \{2, 3\}, \{2, 4\}, \{3, 4\}, \{1, 2, 3\}, \{1, 2, 4\}, \{1, 3, 4\}, \{2, 3, 4\}, \{1, 2, 3, 4\}\} \]<br /><br />So, the power set of \( B \) is:<br />\[ \{\emptyset, \{1\}, \{2\}, \{3\}, \{4\}, \{1, 2\}, \{1, 3\}, \{1, 4\}, \{2, 3\}, \{2, 4\}, \{3, 4\}, \{1, 2, 3\}, \{1, 2, 4\}, \{1, 3, 4\}, \{2, 3, 4\}, \{1, 2, 3, 4\}\} \]