document.write( "Question 859719: how many numbers each lying between 10 and1000 can be formed with digits 2 ,3,4,0,8,9 using only once????
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Algebra.Com's Answer #520081 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! how many numbers each lying between 10 and1000 can be formed with digits 2 ,3,4,0,8,9 using only once???? \n" ); document.write( " \r\n" ); document.write( "Case 1: two digit numbers:\r\n" ); document.write( "\r\n" ); document.write( "We can choose the tens digit any of 5 ways (0 cannot be chosen)\r\n" ); document.write( "We can then choose the units digit any of 5 ways, because\r\n" ); document.write( "0 can be chosen.\r\n" ); document.write( "\r\n" ); document.write( "That's 5×5 or 25 two digit numbers\r\n" ); document.write( "\r\n" ); document.write( "Case 2: three digit numbers:\r\n" ); document.write( "\r\n" ); document.write( "We can choose the hundreds digit any of 5 ways (0 cannot be chosen)\r\n" ); document.write( "We can then choose the tens digit any of 5 ways, because\r\n" ); document.write( "0 can be chosen.\r\n" ); document.write( "We can then choose the units digit any of the 4 remaining ways.\r\n" ); document.write( "\r\n" ); document.write( "That's 5×5×4 = 100 three-digit numbers\r\n" ); document.write( "\r\n" ); document.write( "Grand total: 25+100 = 125 \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |