Question

find all subsets of {abc}​

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

All subsets of {a,b,c} are Φ, {a} , {b} , {c} , {a,b} , {a,c} , {b,c} , {a,b,c}

Given :

The set {a,b,c}

To find :

All subsets of {a,b,c}

Solution :

Step 1 of 2 :

Define subset of a set

A set S is said to be a subset of T if every element of S is an element of T

We know that if a set contains n elements then the number of subsets of the set is 2ⁿ

Step 2 of 2 :

Find all subsets of {a,b,c}

Since the number of elements in {a,b,c} are 3

∴ Number of subsets of {a,b,c} = 2³ = 8

Hence all subsets of {a,b,c} are Φ, {a} , {b} , {c} , {a,b} , {a,c} , {b,c} , {a,b,c}

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