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Question

If G = {7, 8} and H = {5, 4, 2}, find G × H and H × G.

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Solution

G={ 7,8 } H={ 5,4,2 }

G×H = { 7,8 }×{ 5,4,2 } = { ( 7,5 ),( 7,4 ),( 7,2 ),( 8,5 ),( 8,4 ),( 8,2 ) } H×G ={ 5,4,2 }×{ 7,8 } ={ ( 5,7 ),( 5,8 ),( 4,7 ),( 4,8 ),( 2,7 ),( 2,8 ) }

Thus, the value of G×H is { ( 7,5 ),( 7,4 ),( 7,2 ),( 8,5 ),( 8,4 ),( 8,2 ) } and the value of H×G is { ( 5,7 ),( 5,8 ),( 4,7 ),( 4,8 ),( 2,7 ),( 2,8 ) } .


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