document.write( "Question 1110975: Fifteen students are going on their spring break. They plan to travel in three vehicles-One seating seven, one seating five, and one seating three students. In how many ways can the students group themselves for their trip?\r
\n" ); document.write( "\n" ); document.write( "I attempted 15!/7!5!3! =360,360
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Algebra.Com's Answer #725995 by ikleyn(52858)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "1.  You can choose seven of 15 by \"C%5B15%5D%5E7\" ways to the first, 7-seating wheel.\r\n" );
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document.write( "    \"C%5B15%5D%5E7\" = \"%2815%2A14%2A13%2A12%2A11%2A10%2A9%29%2F%281%2A2%2A3%2A4%2A5%2A6%2A7%29\".\r\n" );
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document.write( "2.  You can choose five of remaining 15-7 = 8 by \"C%5B8%5D%5E5\" ways to the second, 5-seating wheel.\r\n" );
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document.write( "    \"C%5B8%5D%5E5\" = \"%288%2A7%2A6%2A5%2A4%29%2F%281%2A2%2A3%29\".\r\n" );
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document.write( "3.  And that is all.  The remaining  15-7-5 = 3 persons are just uniquely defined, and you have nothing more to select.\r\n" );
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document.write( "4.  So, your final answer is the product of these two numbers:\r\n" );
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document.write( "    \"C%5B15%5D%5E7\" . \"C%5B8%5D%5E5\"\r\n" );
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document.write( "5.  I leave it to you to complete these calculation.\r\n" );
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\n" ); document.write( "On Combinations,  see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introduction to Combinations\r
\n" ); document.write( "\n" ); document.write( "    - PROOF of the formula on the number of Combinations\r
\n" ); document.write( "\n" ); document.write( "    - Problems on Combinations\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on Permutations and Combinations\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic  \"Combinatorics: Combinations and permutations\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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