document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466337>Question 466337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8. A comittee of 10 women and 9 men is looking to create a 6 person committee. <BR>\n" );
document.write( "     a. how many ways are there of choosing this committee?<BR>\n" );
document.write( "           19*18*17*16*15*14=19535040<BR>\n" );
document.write( "     b. How many ways are there of chosing 4 men and 2 women?<BR>\n" );
document.write( "              (i'm confused)<BR>\n" );
document.write( "     c. Whats the probability that it's selected with 4 men and 2 women?<BR>\n" );
document.write( "              (I havent a clue)<BR>\n" );
document.write( "     d. What is the probility that it's selected with 5 women and 1 man?<BR>\n" );
document.write( "              ( i do not know)\r<BR>\n" );
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document.write( "Please help! Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319669 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=319669\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> . A comittee of 10 women and 9 men is looking to create a 6 person committee. <BR>\n" );
document.write( "a. how many ways are there of choosing this committee?<BR>\n" );
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document.write( "Ans: 19C6 = 19!/(13!*6!) = (19*18*...*14)/(1*2*...6) = 27,132<BR>\n" );
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document.write( "b. How many ways are there of chosing 4 men and 2 women?<BR>\n" );
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document.write( "Ans: [9C4*10C2] = 5670<BR>\n" );
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document.write( "c. Whats the probability that it's selected with 4 men and 2 women?<BR>\n" );
document.write( "Ans: 5670/27132 = 0.2090<BR>\n" );
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document.write( "d. What is the probility that it's selected with 5 women and 1 man?<BR>\n" );
document.write( "Ans: [10C5*9C1]/[19C5] = 0.0836<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );