document.write( "Question 1162098: Find the total number of different 4-digit numbers using all the digits in the number 4129.\r
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document.write( "Multiple choice answers:\r
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document.write( "a. 24
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document.write( "b. 12
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document.write( "c. 18
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document.write( "d. 6 \n" );
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Algebra.Com's Answer #785832 by ikleyn(52798)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "It is the number of all permutations of four digits, which is 4*3*2*1 = 24. ANSWER \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Another way to present it is to say that\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " - any one of four digits can occupy the 1-st position;\r\n" ); document.write( "\r\n" ); document.write( " - any one of the remaining three digits can occupy the 2-nd position;\r\n" ); document.write( "\r\n" ); document.write( " - any one of the remaining two digits can occupy the 3-rd position;\r\n" ); document.write( "\r\n" ); document.write( " - and there is only one way to fill the last, 4-th position,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "which gives you 4*3*2*1 options, in all.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On Permutations, see these 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 \n" ); document.write( "\n" ); document.write( " - Problems on Permutations with restrictions \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 lessons are 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( " |