document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038390>Question 1038390</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have decided you may want to join your Home Owner's Association (HOA) Governing Board. Your HOA serves two adjoining communities called Eagle & Quail, and in order to serve on the HOA Governing Board, you must own a home in one of the two communities. There are 14 Eagle homeowners and 11 Quail homeowners that are interested in being on the HOA board.\r<BR>\n" );
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document.write( " a) If the board is made up of 8 members, how many different ways are there to choose the board?\r<BR>\n" );
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document.write( "____________________ways to choose the board?\r<BR>\n" );
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document.write( "b) How many ways are there to choose the eight member board if there must be exactly 2 Eagle homeowners on the board?\r<BR>\n" );
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document.write( "_____________ways to choose the eight member board with exactly 2 Eagle homeowners?\r<BR>\n" );
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document.write( "c) What is the probability that a randomly chosen eight member board would have exactly 2 Eagle homeowners on it?\r<BR>\n" );
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document.write( "Probability that a eight member board has exactly 2 Eagle homeowners =   <BR>\n" );
document.write( "Round your answer to 4 decimal places as needed.\r<BR>\n" );
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document.write( "d) If the eight board members have now been chosen, how many ways would there be to assign a President and Vice President for the board? \r<BR>\n" );
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document.write( "____________ways to choose a President and Vice President for the eight member board?<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 #653110 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=653110\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 14 Eagle homeowners and 11 Quail homeowners that are interested in being on the HOA board. <BR>\n" );
document.write( "s) If the board is made up of 8 members, how many different ways are there to choose the board? :: 25C8 ways to choose the board?<BR>\n" );
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document.write( "b) How many ways are there to choose the eight member board if there must be exactly 2 Eagle homeowners on the board?:: <BR>\n" );
document.write( "14C2 * 11C6 ways to choose the eight member board with exactly 2 Eagle homeowners?<BR>\n" );
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document.write( "c) What is the probability that a randomly chosen eight member board would have exactly 2 Eagle homeowners on it?::[14C2*11C6]/25C8<BR>\n" );
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document.write( "Round your answer to 4 decimal places as needed:: 0.0389 <BR>\n" );
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document.write( "d) If the eight board members have now been chosen, how many ways would there be to assign a President and Vice President for the board?:: 8P2 = 8*7 = 56<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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