How many numbers are there between 100 and 1000 such that at least one of digits is
6 ?
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Answer:
numbers between 100 and 1000, =900.
Numbers between 100 and 1000 which do not have digit 6 in any place,
=8×9×9=648.
Unit digit could take any value of the 9 values (0 to 9, except 6)
Tens Digit could take any value of the 9 values (0 to 9, except 6)
Hundreds digit could take any value of the 8 values (1 to 9, except 6)
numbers between 100 and 1000 which have at least one digit as 6,
=900−648=252.
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