document.write( "Question 977944: Which is the Smallest 7 digit number that contains Atleast 4 different digits ? \n" ); document.write( "
Algebra.Com's Answer #599525 by Edwin McCravy(20065)\"\" \"About 
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document.write( "The idea is to pick the smallest possible 1st digit that will permit the number\r\n" );
document.write( "to have 4 different digits.  Then we pick the smallest possible 2nd digit that\r\n" );
document.write( "will permit the number to have 4 different digits, and so on until we have\r\n" );
document.write( "picked all 7 digits.  \r\n" );
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document.write( "The smallest first digit we can pick is 1.  We can't pick 0 since it wouldn't have\r\n" );
document.write( "7 digits.\r\n" );
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document.write( "The smallest 2nd digit we can pick is 0.  We have now picked 2 different digits,\r\n" );
document.write( "and have 5 more digits to pick, and we only need to pick 2 more different\r\n" );
document.write( "digits.\r\n" );
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document.write( "The smallest 3rd digit we can pick is also 0.  We have picked 2 different\r\n" );
document.write( "digits, and have 4 more digits to pick, and we only need to pick 2 more\r\n" );
document.write( "different digits.\r\n" );
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document.write( "The smallest 4th digit we can pick is also 0.  We have picked 2 different\r\n" );
document.write( "digits, and have 3 more digits to pick, and we only need to pick 2 more\r\n" );
document.write( "different digits.\r\n" );
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document.write( "The smallest 5th digit we can pick is also 0.  We have picked 2 different\r\n" );
document.write( "digits, and have 2 more digits to pick, and we only need to pick 2 more\r\n" );
document.write( "different digits.\r\n" );
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document.write( "The smallest 6th digit we can pick is 2.  We have picked 3 different digits, and\r\n" );
document.write( "have 1 more digit to pick.\r\n" );
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document.write( "The smallest 7th and last digit we can pick is 3.\r\n" );
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document.write( "Answer: 1000023 is the smallest possible 7 digit number with 4 different digits.\r\n" );
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document.write( "Edwin
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