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5. If D = {w, h, y} and E = {n, o, t}then answer the following:
\n" ); document.write( "(a) How many possible one-to-one correspondences are there between sets D and E?
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document.write( "We may choose an elements of E to correspond to w in 3 ways.\r\n" );
document.write( "We may then choose one of the remaining elements of E to correspond to h in 2 ways.\r\n" );
document.write( "We must then choose the remaining 1 element of E to correspond to y.\r\n" );
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document.write( "So that's 3x2x1 or 6 ways. They are\r\n" );
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document.write( "{ (w,n), (h,o), (y,t) }\r\n" );
document.write( "{ (w,n), (h,t), (y,o) }\r\n" );
document.write( "{ (w,o), (h,n), (y,t) }\r\n" );
document.write( "{ (w,o), (h,t), (y,n) }\r\n" );
document.write( "{ (w,t), (h,o), (y,n) }\r\n" );
document.write( "{ (w,t), (h,n), (y,o) }\r\n" );
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document.write( "(b) How many elements are in the Cartesian product D × E? \r\n" );
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document.write( "We may choose an elements of E to correspond to w in 3 ways.\r\n" );
document.write( "We may choose an elements of E to correspond to h in 3 ways. \r\n" );
document.write( "We may choose an elements of E to correspond to y in 3 ways.\r\n" );
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document.write( "So that's 3x3 or 9 elements.\r\n" );
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document.write( "D x E = \r\n" );
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document.write( "{ (w,n), (w,o), (w,t), (h,n), (h,o), (h,t), (y,n), (y,o), (y,t) } \r\n" );
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document.write( "Edwin \n" );
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