document.write( "Question 1033524: An environmental organization has 19 members. Each member will be placed on exactly 1 of 4 teams. Each team will work on a different issue. The first team has 3 members, the second has 5, the third has 7, and the fourth has 4. In how many ways can these teams be formed? \n" ); document.write( "
Algebra.Com's Answer #648239 by ikleyn(52780)\"\" \"About 
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\n" ); document.write( "An environmental organization has 19 members. Each member will be placed on exactly 1 of 4 teams.
\n" ); document.write( "Each team will work on a different issue. The first team has 3 members, the second has 5, the third has 7, and the fourth has 4.
\n" ); document.write( "In how many ways can these teams be formed?
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document.write( "1.       You can select 3 members from 19 members to the 1-st team by \"C%5B19%5D%5E3\" ways.\r\n" );
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document.write( "2.  Then you can select 5 members from remaining 19-3 = 16 members to the 2-nd team by \"C%5B16%5D%5E5\" ways.\r\n" );
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document.write( "3.  Then you can select 7 members from remaining 16-5 = 11 members to the 3-rd team by \"C%5B11%5D%5E7\" ways.\r\n" );
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document.write( "4.  Then you can select 4 members from remaining 11-7 = 4 members to the 4-th team by \"C%5B4%5D%5E4\" = 1 ways.\r\n" );
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document.write( "    (Actually, you just have no choice at this last step).\r\n" );
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document.write( "5.  In total, you have  \"C%5B19%5D%5E3\" * \"C%5B16%5D%5E5\" * \"C%5B11%5D%5E7\"  ways to form yours teams. \r\n" );
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document.write( "Thus I just explained the methodology to you, and I leave to you making the calculations.\r\n" );
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document.write( "Last notice:  the quantities  \"C%5Bn%5D%5Ek\"  are the numbers of combinations of \"n\" things taken \"k\" at a time.\r\n" );
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document.write( "See the lesson  Introduction to Combinations  in this site.\r\n" );
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