document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93530>Question 93530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Combinations\r<BR>\n" );
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document.write( "Question: Find the number of ways in which each committee can be selected.<BR>\n" );
document.write( "1. a committe of 5 people from a group of 8 people<BR>\n" );
document.write( "2. a committe of 2 people from a group of 16 people<BR>\n" );
document.write( "3. a committe of 4 people from a group of 7people<BR>\n" );
document.write( "4. a committe of 8 people from a group of 15people<BR>\n" );
document.write( "5. a committe of 3 people from a group of 8 people\r<BR>\n" );
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document.write( "Question: At luncheon guest are offered a selection of 4 diffrent grilled vegetables and 5 diffrent relishes. In how many ways can the following items be chosen?<BR>\n" );
document.write( "6. 2 vegetables and 3 relishes<BR>\n" );
document.write( "7. 3 vegetables and 2 relishes<BR>\n" );
document.write( "8. 4 vegetables and 4 relishes<BR>\n" );
document.write( "9. 3 vegetables and 3 relishes\r<BR>\n" );
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document.write( "Question: A bag contains 8 white marbles and 7 blue marbles. Find the probability of selecting each combination<BR>\n" );
document.write( "10. 2 white and 3 blue<BR>\n" );
document.write( "11. 3 white and 2 blue<BR>\n" );
document.write( "12. 4 white and 1 blue </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68105 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=68105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do one from each section.  The others in that section are worked the same.<BR>\n" );
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document.write( "Question: Find the number of ways in which each committee can be selected.<BR>\n" );
document.write( "1. a committe of 5 people from a group of 8 people<BR>\n" );
document.write( "8C5 = 8C3 = [8*7*6]/[1*2*3] = 56<BR>\n" );
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document.write( "Question: At luncheon guest are offered a selection of 4 diffrent grilled vegetables and 5 diffrent relishes. In how many ways can the following items be chosen?<BR>\n" );
document.write( "6. 2 vegetables and 3 relishes<BR>\n" );
document.write( "# of ways to pick 2 vegetables = 4C2 = [4*3]/[1*2] = 6<BR>\n" );
document.write( "# of ways to pick 3 relishes = 5C3 = 5C2 = [5*4]/[1/2]=]10<BR>\n" );
document.write( "So, # of ways to pick 2 veg and 3 rel = 6*10 = 60<BR>\n" );
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document.write( "Question: A bag contains 8 white marbles and 7 blue marbles. Find the probability of selecting each combination<BR>\n" );
document.write( "10. 2 white and 3 blue<BR>\n" );
document.write( "# of ways to pick 2 white = 8C2 = 28<BR>\n" );
document.write( "# of ways to pick 3 blue = 7C3 = 35<BR>\n" );
document.write( "So, # of ways to pick 2 white and 3 blue = 28*35<BR>\n" );
document.write( "So 28*35 is the number of ways to succeed<BR>\n" );
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document.write( "The number of possible outcomes of selecting 5 marbles from 15 is 15C5= 3003<BR>\n" );
document.write( "Therefore the probability of selecting 2 white and 3 blue is [28*35]/3003 <BR>\n" );
document.write( "= 980/3003 = 0.3263...<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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