document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75159>Question 75159</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 75 people present to vote new members into their organization.  There are 12 candidates and only 6 candidates can be voted in to become members of the organization.  In order to become part of the organization, you must receive 75% of the vote amongst the 75 people that are voting.  These 75 people can vote for up to 6 candidates during each voting session.  Is it possible for all 6 candidates to get 75% of the vote if voters are selecting anywhere between 1 to 6 candidates on each ballot?  If so, how many times must the group vote in order to select 6 people to meet the 75% requirement? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54251 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=54251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 75 people present to vote new members into their organization. There are 12 candidates and only 6 candidates can be voted in to become members of the organization. In order to become part of the organization, you must receive 75% of the vote amongst the 75 people that are voting. These 75 people can vote for up to 6 candidates during each voting session.<BR>\n" );
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document.write( "Is it possible for all 6 candidates to get 75% of the vote if voters are selecting anywhere between 1 to 6 candidates on each ballot?<BR>\n" );
document.write( "6 votes each by 75 persons = 450 votes<BR>\n" );
document.write( "75%(450)=337.5 votes<BR>\n" );
document.write( "337.5/6 = 56.25<BR>\n" );
document.write( "75%(75)=56.25<BR>\n" );
document.write( "So it is possible for all 6 candidates to get 75% of the vote.<BR>\n" );
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document.write( " If so, how many times must the group vote in order to select 6 people to meet the 75% requirement?<BR>\n" );
document.write( "N/A<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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