Question

If A = {a, {a, b}}, write all the subsets of A.

Answer 1

A = {a , {a, b}}
In set A , there are two elements a and {a,b}
so, number of elements in set A , n = 2
We know, if n is the number of elements in any set A
Then, number of subset = 2ⁿ

∴ number of subset of A = 2² = 4
e.g., Φ , {a} , {{a,b}} , {a, {a, b}}

Answer 2

Given A = { a , { a , b } }

n( A ) = 2

Number of subsets = 2^n(A)

= 2²

= 4

Subsets of A = { a } , { { a , b } } ,

{ a , { a , b } } , { }

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