document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1073139>Question 1073139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many different code words can be made from the symbols *,*,*,@,@,#,#,#,#,$ if each word has 10 symbols?<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 #688028 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=688028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 10 symbols available.<BR>\n" );
document.write( "Since each word has 10 symbols,<BR>\n" );
document.write( "all available symbols will be used.<BR>\n" );
document.write( "If all 10 symbols were distinguishable from one another,<BR>\n" );
document.write( "you could make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%21=3628800 ALIGN=MIDDLE  ALT=\"10%21=3628800\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "However, there are<BR>\n" );
document.write( "3 *,<BR>\n" );
document.write( "2 @,<BR>\n" );
document.write( "4 #, and 1 $.<BR>\n" );
document.write( "Secretly marking the repeat symbols,<BR>\n" );
document.write( "in a way only you could notice,<BR>\n" );
document.write( "you would realize that<BR>\n" );
document.write( "interchanging the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > @ you can make<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%21=2 ALIGN=MIDDLE  ALT=\"2%21=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > copies of each word that look identical to everyone else.<BR>\n" );
document.write( "Similarly, interchanging only the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > *,<BR>\n" );
document.write( "you can make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%21=6 ALIGN=MIDDLE  ALT=\"3%21=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > versions of each word that only you can distinguish,<BR>\n" );
document.write( "and you can make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%21=24 ALIGN=MIDDLE  ALT=\"4%21=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > versions of each word by playing with the # symbols.<BR>\n" );
document.write( "Playing with all of the repeated symbols,<BR>\n" );
document.write( "you could make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%21%2A3%21%2A4%21=2%2A6%2A24=288 ALIGN=MIDDLE  ALT=\"2%21%2A3%21%2A4%21=2%2A6%2A24=288\"   DISABLED_style= \"max-width:90%; height:auto;\" > versions of each word.<BR>\n" );
document.write( "So, although you would distinguish among <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=288 ALIGN=MIDDLE  ALT=\"288\"   DISABLED_style= \"max-width:90%; height:auto;\" > replicates of each word,<BR>\n" );
document.write( "to see <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3628800 ALIGN=MIDDLE  ALT=\"3628800\"   DISABLED_style= \"max-width:90%; height:auto;\" > different strings of characters,<BR>\n" );
document.write( "there would be only<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3628800%2F288=highlight%2812600%29 ALIGN=MIDDLE  ALT=\"3628800%2F288=highlight%2812600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > different words. </SPAN>\n" );
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