document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=320930>Question 320930</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An election ballot asks voters to select 6 city commissioners from a group of 12 candidates. In how many ways can this be done.<BR>\n" );
document.write( "Use the formula nCr to solve.<BR>\n" );
document.write( "I am stuck please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229835 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=229835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let n = total of city commissioners\r<BR>\n" );
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document.write( "Let r = how many candidate are taken from the total\r<BR>\n" );
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document.write( "This is a combination question from probability math.\r<BR>\n" );
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document.write( "The formula you need is given by: nCr = n!/[(n - r)! * r!]\r<BR>\n" );
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document.write( "The exclamation point (!) means factorial.\r<BR>\n" );
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document.write( "What is a factorial anyway?\r<BR>\n" );
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document.write( "A factorial is the product of all the positive integers from 1 to a given number.\r<BR>\n" );
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document.write( "For example, 6 factorial, written 6!, means 6 x 5 x 4 x 3 x 2 x 1 = 720.\r<BR>\n" );
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document.write( "What would 4! be?  It is 4 x 3 x 2 x 1 = 24.\r<BR>\n" );
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document.write( "Understand?\r<BR>\n" );
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document.write( "============================================\r<BR>\n" );
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document.write( "Back to your question.\r<BR>\n" );
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document.write( "Let n = 12\r<BR>\n" );
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document.write( "Let r = 6\r<BR>\n" );
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document.write( "Replace every n! with 12 and every r! with 6 and then do the math.\r<BR>\n" );
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document.write( "nCr = 12!/[(12 - 6)!*6!]\r<BR>\n" );
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document.write( "nCr = 479001600/(720)(720)\r<BR>\n" );
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document.write( "nCr = 479001600/518400\r<BR>\n" );
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document.write( "nCr = 924\r<BR>\n" );
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document.write( "There are 924 ways or combinations to select 6 city commissioners from a group of 12 candidates.\r<BR>\n" );
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