Question

What are the possible subsets of 0,1,2

Answer 1

Answer:

{} {0} {1} {2} {0, 1} {0, 2} {1, 2} {1, 2, 3}

Step-by-step explanation:

The subset listed above uses all numbers listed in the set. Null set is always included.

Answer 2

The all possible subsets of set A = {0 , 1 , 2} are Φ , {0} , {1} , {2} , {0, 1} , {0, 2} , {1, 2} , {1, 2, 3}

Correct question : Find all the possible subsets of set A = {0 , 1 , 2}

Given :

The set A = {0 , 1 , 2}

To find :

All the possible subsets of set A = {0 , 1 , 2}

Concept :

Subset :

A set S is said to be a subset of T if every element of S is an element of T . It is written as S ⊆ T

If a set contains n elements then the number of subsets of the set is 2ⁿ

Solution :

Step 1 of 2 :

Write down number of possible subsets of A

Here the given set is A = {0 , 1 , 2}

The set A contains 3 elements

∴ Total number of possible subsets of A

$\displaystyle \sf = {2}^{ 3}$

$= 8$

Step 2 of 2 :

Find all the possible subsets of set A

We know that , a set B is said to be a subset of A if every element of B is an element of A

The all possible subsets of set A = {0 , 1 , 2} are Φ , {0} , {1} , {2} , {0, 1} , {0, 2} , {1, 2} , {1, 2, 3}

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