document.write( "Question 1116420: How many ways can the positions of center midﬁelder, striker, and center back be assigned from the starting ten ﬁeld players of a soccer team? \n" ); document.write( "

Algebra.Com's Answer #731306 by ikleyn(52802) $\"\"$ $\"About$

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document.write( "In this problem the order does matter.\r\n" );
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document.write( "(When the positions are named, the order of assigning  DOES MATTER.)\r\n" );
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document.write( "So, it is about permutations and not about combinations.\r\n" );
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document.write( "The correct answer is:  in  10*9*8 = 720 ways.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On Combinations and Permutations, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introduction to Permutations\r
\n" ); document.write( "\n" ); document.write( "    - PROOF of the formula on the number of Permutations\r
\n" ); document.write( "\n" ); document.write( "    - Problems on Permutations\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( "    - Arranging elements of sets containing indistinguishable elements \r
\n" ); document.write( "\n" ); document.write( "    - Persons sitting around a cicular table \r
\n" ); document.write( "\n" ); document.write( "    - Combinatoric problems for entities other than permutations and combinations \r
\n" ); document.write( "\n" ); document.write( "    - Miscellaneous problems on permutations, combinations and other combinatoric entities \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( "\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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