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Let A= {1, 2} a n d B = {3, 4}. Write Ax...

Let `A= {1, 2} a n d B = {3, 4}`. Write `Axx B`. How many subsets will `Axx B`have?List them.

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The correct Answer is:
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`A={1,2} and B={3,4}`
`therefore AxxB={(1,3),(1,4),(2,3),(2,4)}`
Clearly ,`n(AxxB)=4`
`therefore ` Number of subset of `AxxB=(2)^(4)=16`
List of subsets of `AxxB`.
`={(1,3),(1,4),(2,3),(2,4)},{(1,3),(1,4),(2,3)},{(1,4),(2,3),(2,4)},{(2,3),(2,4),(1,3)},{(2,4),(1,3),(1,4)},{(1,3),(1,4)},{(1,3),(2,3)},{(1,3),(2,4)},{(1,4),(2,4),(1,4),(2,3)},{(2,3),(2,4)},{(1,3)},{(1,4)},{(2,3)},{(2,4)}}`
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