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

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(B) To find the number of times the digit $3$ appears in the integers from $1$ to $1000$, we consider all numbers from $000$ to $999$. Note that $1000

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$300$

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(B) To find the number of times the digit $3$ appears in the integers from $1$ to $1000$, we consider all numbers from $000$ to $999$. Note that $1000$ does not contain the digit $3$, so the count remains the same.Each position (units, tens, hundreds) can be filled by $10$ digits $(0-9)$. In the range $000$ to $999$, there are $1000$ numbers, each having $3$ digits, making a total of $3000$ digit positions.Since each of the $10$ digits $(0, 1, 2, \dots, 9)$ appears with equal frequency in each position, the digit $3$ appears in each position $3000 / 10 = 300$ times.Thus, the total number of times the digit $3$ is written is $300$.

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

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