document.write( "Question 1193129: 5 objects, without replacement, from 18 distinct objects
\n" ); document.write( "If the order is relevant, how many ways can this be done?
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Algebra.Com's Answer #825127 by ikleyn(52855)\"\" \"About 
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\n" ); document.write( "5 objects, without replacement, from 18 distinct objects
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document.write( "(a) If the order is relevant, then the answer is  18*17*16*15*14 = 1028160 different ways.\r\n" );
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document.write( "    It is the product of 5 consecutive integer numbers in descending order, starting from 18.\r\n" );
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document.write( "    It is called \"permutations of the length 5 of 18 different objects\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "On  Permutations,  see introductory 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
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document.write( "(b) If the order is not relevant, then the answer is  \r\n" );
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document.write( "         \"C%5B18%5D%5E5\" = \"%2818%2A17%2A16%2A15%2A14%29%2F%281%2A2%2A3%2A4%2A5%29\" = 8568 different ways.\r\n" );
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document.write( "    It is called \"combinations of 18 different objects taken 5 at a time\",\r\n" );
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document.write( "          \"C%5Bn%5D%5Ek\" = \"%28n%21%29%2F%28%28k%21%29%2A%28n-k%29%21%29\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "On Combinations,  see introductory 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
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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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