Question

If A = {2, 3}, B = {4, 5}, C = {5, 6}, then what is the number of elements in A × (B ∩ C)?
1. 2
2. 4
3. 6
4. 8

Answer 1

Correct Answer - Option 1 : 2

Concept:

Let A, and B be any two sets

(A ∩ B) = {x, \(\rm x \in A \;\;and \;\; x \in B\)}

A × B = {(x, y), \(\rm x \in A \;\;and \;\; y \in B\)}

 

Calculations:

Given, A = {2, 3}, B = {4, 5}, C = {5, 6}

⇒(B ∩ C) = {5}

A × (B ∩ C) = {(2, 5), (3, 5)}

⇒ The number of elements in A × (B ∩ C) = 2