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  4. The number of three digit numbers in which 9 appears only in one place is

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Q. The number of three digit numbers in which $9$ appears only in one place is

AP EAMCETAP EAMCET 2018

Solution:

The number of three digit numbers in which 9 appears at hundred place only is $=1 \times 9 \times 9=81$ Similarly, the number of three digit numbers in which 9 appears at ten or unit place only is
$=(8 \times 1 \times 9) \times 2=144$
So, required number $=81+144=225$