document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146533>Question 1146533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose 22 cars start at a car race. In how many ways can the top 3 cars finish the​ race?\r<BR>\n" );
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document.write( "The number of different top three finishes possible for this race of 22 cars is __ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767811 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It sounds like the order that the top 3 finish matters, so<BR>\n" );
document.write( "if the top 3 are 7, 19, 21, then the possible orders are:<BR>\n" );
document.write( "7, 19, 21<BR>\n" );
document.write( "7, 21, 19<BR>\n" );
document.write( "19, 7, 21<BR>\n" );
document.write( "19, 21, 7<BR>\n" );
document.write( "21, 7, 19<BR>\n" );
document.write( "21, 19, 7<BR>\n" );
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document.write( "So, you want the number of permutations , 22 things<BR>\n" );
document.write( "taken 3 at a time:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%21+%2F+%28+n+-+r+%29%21+ ALIGN=MIDDLE  ALT=\"+n%21+%2F+%28+n+-+r+%29%21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+22+ ALIGN=MIDDLE  ALT=\"+n+=+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+3+ ALIGN=MIDDLE  ALT=\"+r+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22%21+%2F+%28+22+-+3+%29%21+ ALIGN=MIDDLE  ALT=\"+22%21+%2F+%28+22+-+3+%29%21+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22%21+%2F+19%21+=+22%2A21%2A20+ ALIGN=MIDDLE  ALT=\"+22%21+%2F+19%21+=+22%2A21%2A20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22%21+%2F+19%21+=+9240+ ALIGN=MIDDLE  ALT=\"+22%21+%2F+19%21+=+9240+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "check the math & get another opinion<BR>\n" );
document.write( " </SPAN>\n" );
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