The number of times the digit 3 will be writt | vedclass

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(B) To find the number of times the digit $3$ occurs in the integers from $1$ to $1000$,we consider all numbers from $000$ to $999$. Each position (un

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$300$

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(B) To find the number of times the digit $3$ occurs in the integers from $1$ to $1000$,we consider all numbers from $000$ to $999$. Each position (units,tens,hundreds) can be filled by any of the $10$ digits $(0-9)$. There are $1000$ numbers in total,each having $3$ digits,making a total of $3000$ digits written. Since each of the $10$ digits appears an equal number of times,the frequency of each digit is $\frac{3000}{10} = 300$. Thus,the digit $3$ appears $300$ times.

The number of times the digit $3$ will be written when listing the integers from $1$ to $1000$ is

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