Question

if A={a,b,c},then write power set of p(A)​

Answer 1

Answer:

Step-by-step explanation:

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

○ empty set.

Answer 2

Answer:

The required power set of the set A is found to be: { $\phi$, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c} }.

Step-by-step explanation:

We know that the power set of any given set, A is the set of all the possible subsets of the set A, including the null set.

Also, the number of elements in a power set of any given set is given by the expression: $2^n$,

Where $n$ is the number of elements in the given set, A.

Now, we are given the set: A = {a,b,c}

The number of subsets (or elements in the power set) of set A will be: $2^n=2^3=8$

The subsets of set A are as follows:

$\phi$ (null set), {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}

Thus, the power set, P(A), of set A will be:

P(A) = { $\phi$, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c} }