if A={a,b,c},then write power set of p(A)
Answers
Answer:
Step-by-step explanation:
P(A) = {○ , {a} , {b} , {c} , {a , b} , {b , c} , {c , a} , {a , b , c} }
○ empty set.
Answer:
The required power set of the set A is found to be: { , {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: ,
Where 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:
The subsets of set A are as follows:
(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) = { , {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c} }