document.write( "Question 1194842: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts and each of the other children 2 gifts? \n" ); document.write( "

Algebra.Com's Answer #827127 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "In how many ways can 9 gifts be divided between 4 children
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document.write( "There are   =  = 84 choices for the eldest child;\r\n" );
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document.write( "then        = 15 choices for the next (second) child;\r\n" );
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document.write( "            =  6 choices for the next (third) child;\r\n" );
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document.write( "           and finally only one choice without any possible options for the last child.\r\n" );
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document.write( "In all, there are   = 84*15*6 = 7560  different ways to distribute the gifts under given conditions.\r\n" );
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\n" ); document.write( "\n" ); document.write( "This problem is on Combinations and on Fundamental counting principle.\r
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\n" ); document.write( "\n" ); document.write( "On these subjects, see the lessons\r
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\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( "    - Fundamental counting principle problems \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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