document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202676>Question 1202676</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box of Mrs. Donuts contains 8 honey dipped, 6 Bavarians, and 7 chocolate-filled donuts. How many ways can 5 donuts be selected to meet each condition?\r<BR>\n" );
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document.write( "a. 3 Bavarian and 2 chocolate filled?\r<BR>\n" );
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document.write( "b. 2 Bavarian, 2 honey-dipped, and 1 chocolate filled?\r<BR>\n" );
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document.write( "c. exactly 1 honey dipped? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837676 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.<BR>\n" );
document.write( " 3 Bavarian and 2 chocolate filled<BR>\n" );
document.write( "Use combination formula, we get:\r<BR>\n" );
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document.write( "C(6,3) * C(7,2) <BR>\n" );
document.write( "= (6! / (3! * (6-3)!) ) * (7! / (2! * (7-2)!) ) <BR>\n" );
document.write( "= 20 * 21 = 420\r<BR>\n" );
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document.write( "420 ways to select 3 Bavarian and 2 chocolate-filled donuts.\r<BR>\n" );
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document.write( "b. <BR>\n" );
document.write( "2 Bavarian, 2 honey-dipped, and 1 chocolate-filled donut. Use the combination formula\r<BR>\n" );
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document.write( "C(6,2) * C(8,2) * C(7,1) <BR>\n" );
document.write( "= (6! / (2! * (6-2)!) ) * (8! / (2! * (8-2)!) ) * (7! / (1! * (7-1)!) )<BR>\n" );
document.write( " = 15 * 28 * 7 = 2940\r<BR>\n" );
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document.write( "2940 ways to select 2 Bavarian, 2 honey-dipped, and 1 chocolate-filled donut.\r<BR>\n" );
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document.write( "c.<BR>\n" );
document.write( " 1 honey-dipped donut, we choose 1 honey-dipped donut from  8 <BR>\n" );
document.write( " and 4 donuts from the remaining 13. we get\r<BR>\n" );
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document.write( "C(8,1) * C(13,4) = (8! / (1! * (8-1)!) ) * (13! / (4! * (13-4)!) ) = 8 * 715 = 5720\r<BR>\n" );
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document.write( " 5720 ways to select  1 honey-dipped donut. </SPAN>\n" );
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