Question

16. Write down the powers of B = {1, 2, 3}​

Answer 1

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Set :- A collection of well defined objects. A set may have infinite or finite objects .Every object is called element of the set.

Subset :- It is the set of few or all elements of a set.

Power set :- It is the set of all subsets of the set including itself and the empty set.

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Power set of a set is the set of all possible sets formed by elements of the given set.

Given set B = { 1 , 2 , 3 }

Power set P(B) = { 1 , 2 , 3 , ( 1 , 2 ) , ( 2 , 3 ) , ( 3 , 1 ) , ( 1 , 2 , 3 ) , Ø }

Number of elements in set = n(B) = 3 .

Therefore, Number of elements in power set = 2^n(B) = 2^3 = 8 .

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