A , B are any non empty sets and n(A) = n(B) can A ,B are equal sets ?Justify?

Open in App

Solution

A and B are equal only if A and B contain exactly the same elements.
n(A) = n(B) is a necessary condition for the sets A and B to be equal but it is not a sufficient condition.
For example A=(1,2,3} and B= {a,b,c} are not equal but n(A) = n(B) = 3
So the answer to the question is if n(A) = n(B) then A and B can be equal but are not necessarily equal.

Suggest Corrections

Similar questions

Let A and B be two non empty sets such that $n (A) = 5, n (B) = 6$ and $n (A \cap B) = 3$ .

Find (i) $n (A \times B)$ ,

(ii) $n (B \times A)$ and

(iii) $n (A \times B) \cap (B \times A)$

If A and A $\cap$ B are void set (empty sets) and n(A $\cup$ B) = 50, find the value of n(B).

A

B

(A \cup B)^{C} \cap (A^{C} \cap B)

A

B

(A \cap B)^{'} =

Join BYJU'S Learning Program