document.write( "Question 1169740: A high school graduating class has 400 members. The principal must select
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document.write( "student chairs of (1) graduation ceremony committee, (2) senior gift committee,
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document.write( "and (3) senior outing committee. If no student can chair more than one
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document.write( "committee, how many ways can the principal select these chairs?
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Algebra.Com's Answer #794550 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "In 400*399*398 ways.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "This time the positions are DISTINGUISHABLE,\r\n" ); document.write( "\r\n" ); document.write( "so the order DOES MATTER.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Therefore, we use PERMUTATIONS, and do not use combinations.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Why the formula goes in this way, I just EXPLAINED several times in my previous posts.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Happy learning (!)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See the lesson\r \n" ); document.write( "\n" ); document.write( " - Special type permutations problems \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Combinatorics: Combinations and permutations\". \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |