Question

jee related question​

Answer 1

Question:

If A = {1, 3}, B = {2, 3} and C = {3, 5}, then n{(A × B) U (B × C)} is ?

Solution:

First let's find out (A × B)

(A × B) = {(1, 2) (1, 3) (3, 2) (3, 3)}

Now find out (B × C)

(B × C) = {(2, 3) (2, 5) (3, 3) (3, 5)}

★ According to the question,

a(A × B) U (B × C)

→ {(1,2) (1,3) (3,2) (3,3) (2,5) (3, 5)}

Note that each element from both sets of (A × B) and (B × C) should be written only once.

Now check number of terms.

There are 6 elements in the union set which is not in the option.

∴ n{(A × B) U (B × C)} is 6