document.write( "Question 390865: How many 5-digit numbers have at least one zero? \n" ); document.write( "

Algebra.Com's Answer #277221 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "The smallest 5 digit number is 10000. The largest is 99999. 99999 minus 10000 is 89999, but since you have a zero-based count, you have to add 1. That means there are a total of 90000 different 5 digit numbers.\r
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\n" ); document.write( "\n" ); document.write( "If you disallow zeros in all 5 digits, there are 9 ways to choose the first digit, 9 ways to choose the 2nd digit, and so on so there are

5 digit numbers that have no zeros at all.\r
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\n" ); document.write( "\n" ); document.write( "Hence the difference between 90000 and 59049 is the number of 5 digit numbers with at least one zero.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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