document.write( "Question 1173253: mr. santos has set 8 questions for a math test.\r
\n" ); document.write( "\n" ); document.write( "d.) if the most difficult question and the easiest one cannot be set next to each other, how many permutations are there for 8 questions?\r
\n" ); document.write( "\n" ); document.write( "can u please show me the solution. thank you so much \n" ); document.write( "
Algebra.Com's Answer #798461 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "In my previous post (see the link at the end of this post), I explained that there are  8! = 40320  permutations for 8 items.\r\n" );
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document.write( "I also explained that there are  2*7! = 2 * 5040 = 10080 permutations, where the most difficult and easiest questions\r\n" );
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document.write( "go next to each other (= are neighbors).\r\n" );
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document.write( "Hence, the number of those permutations, where these questions ARE NOT neighbors is the difference\r\n" );
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document.write( "    40320 - 10080 = 30240.     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "It is the link to the referred post\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Permutations/Permutations.faq.question.1173252.html\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Permutations/Permutations.faq.question.1173252.html\r
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\n" ); document.write( "\n" ); document.write( "If you want to see many similar solved problems on PERMUTATIONS, see my 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( "    - Simple and simplest problems on permutations\r
\n" ); document.write( "\n" ); document.write( "    - Special type permutations problems \r
\n" ); document.write( "\n" ); document.write( "    - Problems on Permutations with restrictions \r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on Permutations and Combinations\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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