document.write( "Question 813394: How many onto functions are there from a set with three elements to a set with eight
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Algebra.Com's Answer #489646 by jsmallt9(3758)![]() ![]() ![]() You can put this solution on YOUR website! None. \n" ); document.write( "An \"onto\" function requires that each element of the \"to\" set is mapped to by an element from the \"from\" set. But a function requires that each element of the \"from\" set (the x values) be used no more than once. It is impossible to map all eight elements of the \"to\" using the three element from the \"from\" set only once. IOW: The \"from\" set must have as many or more elements than the \"to\" set in order to have an \"onto\" function. \n" ); document.write( " |