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A = { a , b } , B = { 1 , 2 } , C = { x , y } . Find the ordered pairs of A×B×C .​

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itzmeurESHA

→ Solution:

 

Given,

  • A = { a , b }
  • B = { 1 , 2 }
  • C = { x , y }

To find: Ordered pairs of A × B × C

First, let us find Cartesian pair of:

  • A × B
  • A × C
  • B × C

⇒ A × B:

{ a , b } , { 1 , 2 }

{ (a,1) , (a,2) , (b,1) , (b,2) }

⇒ A × C:

{ a , b } , ( x , y }

{ (a,x) , (a,y) , (b,x) , (b,y) }

⇒ B × C:

{ 1 , 2 } , { x , y }

{ (1,x) , (1,y) , (2,x) , (2,y) }

⇒ Ordered Pair of  A × B × C:

(a,1) , (a,2) , (b,1) , (b,2) , (a,x) , (a,y) , (b,x) , (b,y) , (1,x) , (1,y) , (2,x) , (2,y).

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