Question

write the power set of {2, 5, 10}.​

Answer 1

Answer:

{2}, {5}, {10}, {2, 5}, {2, 10}, {5, 10}, {2, 5,10} and empty set

Answer 2

The power set of {2, 5, 10} is { Φ , {2}, {5}, {10}, {2, 5}, {2, 10}, {5, 10}, {2, 5,10} }

Given :

The set {2, 5, 10}

To find :

The power set of {2, 5, 10}

Solution :

Step 1 of 2 :

Define power set of a set

The power of a set S is defined as the set of all subsets of S and denoted by P(S)

Step 2 of 2 :

Find power set of {2, 5, 10}

All subsets of {2, 5, 10} are Φ , {2}, {5}, {10}, {2, 5}, {2, 10}, {5, 10}, {2, 5,10}

Hence power set of {2, 5, 10} is { Φ , {2}, {5}, {10}, {2, 5}, {2, 10}, {5, 10}, {2, 5,10} }

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