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caylus
Hello,
Answer 8

P({1,2,3}={{},{1},{2},{3},{1,2},{1,3},{2,3},{1,2,3}}

Answer:  The correct option is (D) 8.

Step-by-step explanation:  We are given to find the number of subsets that can be created from the set {1, 2, 3}.

Let the given set be represented by

A = {1, 2, 3}.

So, cardinality of the set is

n(A) = 3.

We know that

of a set has m number of elements, then the number of subsets of the set is given by [tex]2^m.[/tex]

Therefore, the number of subsets of the given set A is

[tex]2^{n(A)}=2^3=8.[/tex]

Thus, there are 8 subsets of the given set.

Option (D) is CORRECT.

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