document.write( "Question 1191853:
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document.write( "If repetition is not allowed then how many numbers between 2000 and 3000 can be formed using the digits from 0 to 7?
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Algebra.Com's Answer #823703 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The left most slot (thousands digit) can only be a 2 if we want the number between 2000 and 3000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The set {0,1,2,3,4,5,6,7} is reduced to {0,1,3,4,5,6,7} \n" ); document.write( "The original set had 8 items in it and the new reduced set has 7 items in it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For the second slot, there are 7 choices to pick from (pick anything in that reduced set).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then the third slot has 7-1 = 6 items to pick from if we aren't allowed to repeat digits.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Lastly, the final slot has 6-1 = 5 items to pick from.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply those values: 7*6*5 = 42*5 = 210\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 210 \n" ); document.write( " \n" ); document.write( " |