document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1070235>Question 1070235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Counting Functions: How many functions are there from a set with m elements to a set with n elements?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685357 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=685357\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let X be the set with m elements and Y be the set with n elements, then<BR>\n" );
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document.write( "The number of functions from set X to set Y is |Y|^|X|, where <BR>\n" );
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document.write( "|Y| is the number of elements in set Y and |X| is the number of elements in set X<BR>\n" );
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document.write( "The number of functions is n^m, since each element in the set X has |Y| choices<BR>\n" );
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document.write( "Note that |X| and |Y| indicates the cardinality set X and set Y respectively<BR>\n" );
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