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Find the number of 3-digit numbers that do not contain the digit 3.

 May 2, 2020
 #1
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There are:999 - 100 + 1 =900 3-digit numbers between 100 and 999

 

There are 271 numbers between 1 and 999 that have a 3 in them.

 

There are 19 numbers between 1 and 99 that have at least one 3 in them.

 

So: 271 - 19 =252 numbers between 100 and 999 that have at least one 3 in them.

 

900 - 252 = 648 numbers between 100 and 999 that have NO 3 in them.

 May 2, 2020

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