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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}

 
Answers (1)
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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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