document.write( "Question 706721: if you wrote all of the whole numbers from 1 to 100 which digit 0-9 would you write the least often \n" ); document.write( "
Algebra.Com's Answer #435376 by Edwin McCravy(20060)\"\" \"About 
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document.write( "The list of one hundred numbers is this:\r\n" );
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document.write( "     1,  2, ...,  9, 10, 11, ..., 99, 100\r\n" );
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document.write( "We want to compare it to this list of 100 numbers:\r\n" );
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document.write( "00, 01, 02, ..., 09, 10, 11, ..., 99.\r\n" );
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document.write( "In the 2nd list there are 10 of each digit used as a first digit,\r\n" );
document.write( "and 10 of each digit used as a second digit. So each digit is used\r\n" );
document.write( "20 times in the second list.\r\n" );
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document.write( "Now we compare the second list to the first list:\r\n" );
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document.write( "For 10 through 99, the lists are the same.\r\n" );
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document.write( "There are 11 zeros in the second list among 00, 01,...09, that are\r\n" );
document.write( "not used in the first list.  \r\n" );
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document.write( "So there are 20-11 or 9 0's up through 99 that are not used in the \r\n" );
document.write( "first list, plus there are two more zeros in 100.  \r\n" );
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document.write( "So there are only 11 zeros used in the first list, and 20 of \r\n" );
document.write( "all the other digits, except 1. \r\n" );
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document.write( "There is one more 1 in the first list, because of the 1 in 100. \r\n" );
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document.write( "So there are 21 1's, 11 0', and 20 of each of the other digits.\r\n" );
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document.write( "Answer: 0 is used least often (11 times). \r\n" );
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document.write( "Edwin
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