Question 45

For the set A = {3, 4}, find Power Set P(A)

Solution

The power set is a set which includes all the subsets including the empty set and the original set itself. It is usually denoted by P. Power set is a type of sets, whose cardinality depends on the number of subsets formed for a given set. If set A = {x, y, z} is a set, then all its subsets {x}, {y}, {z}, {x, y}, {y, z}, {x, z}, {x, y, z} and {} are the elements of power set, such as:

Power set of A, P(A) = { {x}, {y}, {z}, {x, y}, {y, z}, {x, z}, {x, y, z}, {} }

For the set A = {3, 4},

Power Set P(A) = $$\left\{\phi ,{3}, {4}, {3,4}\right\}$$


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