Question

Find the power set of A = {x/x is a factor of 6, XEN).​

Answer 1

Answer:

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Answer 2

Answer:

The number of elements in the power set of A = { {x/x is a factor of 6, x∈N} = 2⁴ = 16.

Step-by-step explanation:

Power set:

• The power set is the set which contains all the elements including the empty set and the original set itself.

           Let S = {a,b},

        then the power set of S = P(S) = {∅, {a}, {b}, {a,b}} = 4 elements

• The general formula for Power set for a set contains n elements can be given by 2ⁿ.

Given set A = {x/x is a factor of 6, x∈N}

                A = {factors of 6} =  {1, 2, 3, 6}

• The power set of A contains no. of elements = 2⁴ = 16.

     The elements in the power set can be written as

   P(A) = {∅, {1}, {2}, {3}, {6}, {1,2}, {2,3}, {3,6}, {1,6}, {2,6},  {1,2,3}, {2,3,6}, {1,3,6}, {1,2,6}, {2,3,6}, {1,2,3,6}}

Know more about Subsets:

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