Question

Power set of A = { 1,2} is a)0 b) {1} , {2} c){1,2} d){∅,{1},{ 2},{1,2}} 1​

Answer 1

Answer:

The cardinality of the power set of {0, 1, 2 . . ., 10} is _________. Solution: The cardinality of a set is the number of elements contained. For a set S with n elements, its power set contains 2^n elements. For n = 11, size of power set is 2^11 = 2048.

Answer 2

Answer:

The empty set {} is a subset of {a,b,c}

And these are subsets: {a}, {b} and {c}

And these are also subsets: {a,b}, {a,c} and {b,c}

And {a,b,c} is a subset of {a,b,c}

And altogether we get the Power Set of {a,b,c}:

P(S) = { {}, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c} }

Think of it as all the different ways we can select the items (the order of the items doesn't matter), including selecting none, or all.

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