Question

Consider the set A= a, b, c i) How many elements are there in its power set P (A)? ii) Write the power set P (A).

a) 6
b) 8
c) 2
d) 4

Answer 1

The power set of a set with 3 elements will have b) 8 elements in it.

Step-by-step explanation:

The power set of a set is the set of all its subsets. To find the number of elements in the power set P(A), we use the formula 2^n, where n is the number of elements in the set. In this case, A has 3 elements (a, b, c), so P(A) will have 2^3 = 8 elements.

The power set P(A) is a set of all possible subsets of A. In this case, the subsets of A are:

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