Question

Let A={1,{2,3}} then the number of subsets of Ais​

Answer 1

Answer:

8

Step-by-step explanation:

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Answer 2

Answer:

4

Step-by-step explanation:

Generalization:

For any set A of cardinality n (i.e, n(A) = n); the number of its subset is $2^n$.

In the given problem,

A={1,{2,3}}

then we have,

n(A) = 2

So, Total number of subsets of A is 4.

And set of  subsets of A is {∅, {1}, {{2,3}}, {1,{2,3}}}

***NOTE: Notice that {2,3} is counted as one element only, for set A.***

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