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# Permutation problem..Number of numbers from 1 to 2010 having at least one digit as 4 are?

Number of numbers from 1 to 2010 having at least one digit as 4 are??

The answer is 543 but i cant figure it out

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- M3Lv 78 years agoFavorite Answer
find out, instead NO 4's in the # first

1 digit #: 8

2 digit #: 8*9 = 72

3 digit #: 8*9*9 = 648

1000-1999: 9*9*9 = 729

2000-2010: just count 10

total #s w/o 4 = 1467

ans: 2010 - 1467 = 543 <------ qed

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