document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37905>Question 37905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the difference between permutations and Combinations? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23431 by </B><A HREF=/tutors/aboutme.mpl?userid=Alwayscheerful><B>Alwayscheerful(414)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alwayscheerful><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation for permutations is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nPr=n%21%2F%28n-r%29%21 ALIGN=MIDDLE  ALT=\"nPr=n%21%2F%28n-r%29%21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Permutations (compared to combinations) will give you a larger number, which means more combinations.<BR>\n" );
document.write( "One example when you use permutations is this:<BR>\n" );
document.write( "Say you have 5 chairs lined up in a row. There are 7 kids.  How many combinations of kids are there?<BR>\n" );
document.write( "You would use permuations because the order of the seating arrangement matters.<BR>\n" );
document.write( "Tom, Jerry, Ralph, Jim, and Tony as a group will be different than Jerry, Tom, Jim, Tony, and Ralph.  \r<BR>\n" );
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document.write( "The equation for combinations is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nCr=n%21%2F%28%28n-r%29%21%2Ar%21%29 ALIGN=MIDDLE  ALT=\"nCr=n%21%2F%28%28n-r%29%21%2Ar%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "One common example when you use combinations is when you are electing people to be on a commitee.<BR>\n" );
document.write( "Say there are 10 kids running for 3 spots.  How many different committees can there be?<BR>\n" );
document.write( "For this, the order doesn't matter, because a committee of Tom, Jerry, and Ralph will be the same as a committee of Jerry, Ralph, and Tom.\r<BR>\n" );
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document.write( "If the order of the group matters, use permuations.  If the order of the group doesn't matter, use combinations.\r<BR>\n" );
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document.write( "Hope this helps!  </SPAN>\n" );
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