document.write( "Question 1123957: Find the sum of all possible 4-digit numbers that can be formed using the digits 2,4,5,6,7, and 8, with no repeated digits.
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document.write( "A)2333100
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document.write( "B)1360920
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document.write( "C)2133120
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document.write( "D)1599840
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document.write( "C)1813450
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Algebra.Com's Answer #740335 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " It was just solved under this link\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1123306.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1123306.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " but the solution was not precisely correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " So, I will place that solution here with my corrections.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "In forming one of those 4-digit numbers, there are 6 choices for the first digit, then 5 for the second, \r\n" ); document.write( "4 for the third, and 3 for the fourth. So the number of 4-digit numbers that can be formed is 6*5*4*3 = 360.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Imagine the list of those 360 numbers, ready to be added. Each of the 6 digits is used the same number of times; \r\n" ); document.write( "and each of them is used the same number of times in each column. That means that in each column of the list \r\n" ); document.write( "of the 360 numbers, each of the given digits is used 360/6 = 60 times.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The sum of the given digits is 2+4+5+6+7+8 = 32. So the sum of the digits in each column is 60*32 = 1920.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "And then the sum of the 360 numbers is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "1920(1000+100+10+1) = 2133120 <<<---=== My editing is in THIS LINE.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Answer. The sum is 2133120. Option C)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |