text: Q
  
  Give answer! If AxB = {3,2}, BxC = {1,4} and AxC = {1,3}, then find A x (B U C) = ?
  
  If AxB = {3,2}, BxC = {1,4} and AxC = {1,3}, then find A x (B U C) = ?
  
  • Option 1)
  
  {1,4,3}
  
  • Option 2)
  
  {2,1,3}
  
  • Option 3)
  
  {3}
  
  • Option 4)
  
  {1,2,3,4}
  
  102 Views
  
  As we have learnt,
  
  Theorem of Cartesian Product -
  
  $AX(B U C)=(AXB)U(AXC)$
  
  -
  
  $A \times (B\cup C) = (A\times B) \cup (A\times C) = \{3,2\}\cup\{1,3\} = \{1,2,3\}$
  
  Option 1)
  
  {1,4,3}
  
  Option 2)
  
  {2,1,3}
  
  Option 3)
  
  {3}
  
  Option 4)
  
  {1,2,3,4}
  
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