Question

Write the power set of the set A={a,b,c}​

Answer 1

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}

Explanation:

➨ Power Set is the set of all subsets.

First, find the subset of A.

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

If you aren't sure that you already have written all subsets or not, use the following formula.

`2^n` ➩ where n is the number of element/members.

Our number of members are 3, use the following formula.

`2^3=8`

Thus, our subsets should be 8.

As we've already gathered all subsets, write the braces all whole subsets.

P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}