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How many numbers are there between 100 and 1000 such that at least one of their digits is 6?
Answer & Solution
Correct Answer:
Option
C
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
= 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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