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900 number have three digits each, 100 through 999. 100 of them have a 4 in the 100's place. Of the remaining 800, 1/10 have a 4 in the tens place. 1/10 of 800 is 80. Of the remaining 720, 1/10 have a 4 in the units place.1/10 of 720 is 72.
100 + 80 + 72 = 252
252 three-digit numbers have at least one digit that is a 4.
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