Q10 of 24 Page 1

How many elements has P(A), if A = ϕ?

P(A) is the power set of set A.

Number of elemenst of P(A) = 2n

Where n is the number of elements of the set A.

Given A=ϕ

Then the numberv of elements of set A = 0

∴ Number of elements of P(A) = 2n

                                            = 20

                                            = 1

More from this chapter

All 24 →
8

If A is any set, prove that:

A⊆ ϕ ⇔ A=ϕ.

 9

From the sets given below, select equal sets:

A = {2, 4, 8, 12}, B = {1, 2, 3, 4}, C = {4, 8, 12, 14}, D = {3, 1, 4, 2}


E = {–1, 1}, F = {0, a}, G = {1, –1}, H = {0, 1}

 12

What is the total number of proper subsets of a set consisting of n elements?

 13

Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify A– (B ∩ C) = (A – B) ∪ (A – C).