document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970783>Question 970783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sack contains 7 dimes, 5 nickels, 10 quarters. 8 coins are drawn at random, what is the probability of getting 4 dimes, 3 nickels, and 1 quarter?<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 #593428 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=593428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am using the <a  rel=nofollow HREF=\"http://www.mathwords.com/c/combination_formula.htm\">combination formula</a> n C r = (n!)/(r!*(n-r)!)\r<BR>\n" );
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document.write( "So for example, 7 C 4 = (7!)/(4!*(7-4)!) = (7!)/(4!*3!) = 5040/(24*6) = 35\r<BR>\n" );
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document.write( "There are 7+5+10 = 22 coins total\r<BR>\n" );
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document.write( "Number of ways to draw 4 dimes = 7 C 4 = 35<BR>\n" );
document.write( "Number of ways to draw 3 nickels = 5 C 3 = 10<BR>\n" );
document.write( "Number of ways to draw 1 quarter = 10 C 1 = 10\r<BR>\n" );
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document.write( "Number of ways to draw 4 dimes, 3 nickels, and 1 quarter = 35*10*10 = 3,500\r<BR>\n" );
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document.write( "Number of ways to draw 8 coins = 22 C 8 = 319,770\r<BR>\n" );
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document.write( "Summary:\r<BR>\n" );
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document.write( "Number of ways to draw 4 dimes, 3 nickels, and 1 quarter = 3,500\r<BR>\n" );
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document.write( "Number of ways to draw 8 coins = 319,770\r<BR>\n" );
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document.write( "Divide the two values: (3,500)/(319,770) = <font color=\"red\">0.01094536698251</font> (this probability is approximate) </SPAN>\n" );
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