Question

If A = {1,3,5} and B = {2,3} then find A × B and B × A

• A. A × B = {(2,1), (2,3), (2,5), (3,1), (3,3), (3,5)}
  B × A = {(1,2), (1,3), (3,2), (3,3), (5,2), (5,3)}
  
• B. A × B = {(1,2), (3,2), (5,2), (1,3), (3,3), (5,3)}
  B × A = {(2,1), (3,1), (2,3), (3,3), (2,5), (3,5)}
• C. A × B = {(1,2), (1,3), (3,2), (3,3), (5,2), (5,3)}
  B × A = {(2,1), (2,3), (2,5), (3,1), (3,3), (3,5)}
• D. A × B = {(1,2), (3,2), (5,2), (1,3), (3,3), (5,3)}
  B × A = {(1,2), (1,3), (3,2), (3,3), (5,2), (5,3)}

Answer 1

The correct option is C A × B = {(1,2), (1,3), (3,2), (3,3), (5,2), (5,3)}

B × A = {(2,1), (2,3), (2,5), (3,1), (3,3), (3,5)}
Given that A = {1,3,5} and B = {2,3}
A × B = {1,3,5} × {2,3}
= {(1,2), (1,3), (3,2), (3,3), (5,2), (5,3)}


B × A = {2,3} × {1,3,5}
= {(2,1), (2,3), (2,5), (3,1), (3,3), (3,5)}