document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061927>Question 1061927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Counting Methods A company has 12 male and 10 female employees, and needs to nominate 3 men and 3 women for the company bowling team. How many different teams can be formed?<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 #676684 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52812)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=676684\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Counting Methods A company has 12 male and 10 female employees, and needs to nominate 3 men and 3 women for the company bowling team. <BR>\n" );
document.write( "How many different teams can be formed?<BR>\n" );
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document.write( "<U>Answer</U>.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B12%5D%5E3 ALIGN=MIDDLE  ALT=\"C%5B12%5D%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B10%5D%5E3 ALIGN=MIDDLE  ALT=\"C%5B10%5D%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 220*120 different teams can be formed.\r<BR>\n" );
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document.write( "<U>Solution</U>\r<BR>\n" );
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document.write( "You can choose 3 men of 12 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B12%5D%5E3 ALIGN=MIDDLE  ALT=\"C%5B12%5D%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%2A11%2A10%29%2F%281%2A2%2A3%29 ALIGN=MIDDLE  ALT=\"%2812%2A11%2A10%29%2F%281%2A2%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2*11*10 = 220 ways.\r<BR>\n" );
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document.write( "You can choose 3 women of 10 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B10%5D%5E3 ALIGN=MIDDLE  ALT=\"C%5B10%5D%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2A9%2A8%29%2F%281%2A2%2A3%29 ALIGN=MIDDLE  ALT=\"%2810%2A9%2A8%29%2F%281%2A2%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10*3*4 = 120 ways.\r<BR>\n" );
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document.write( "You can then combine men and women by 220*120 ways.\r<BR>\n" );
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document.write( "On Combinations, see the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/Introduction-to-Combinations-.lesson>Introduction to Combinations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/PROOF-of-the-formula-on-the-number-of-combinations.lesson>PROOF of the formula on the number of Combinations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Permutations/Problems-on-Combinations.lesson>Problems on Combinations</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Permutations/OVERVIEW-the-lessons-on-Permutations-and-Combinations.lesson>OVERVIEW of lessons on Permutations and Combinations</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this online textbook under the topic \"<U>Combinatorics: Combinations and permutations</U>\". \r<BR>\n" );
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