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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$300$

Vedclass · Answer

(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

Similar Questions

Suppose that $20$ pillars of the same height have been erected along the boundary of a circular stadium. If the top of each pillar is connected by beams to the top of all its non-adjacent pillars,then the total number of beams is:

There are $6$ Men and $8$ Women in a club in which a committee of $5$ people has to be made. What will be the number of ways to select $5$ people if at most one man is selected?

There are $n$ points in a plane of which $p$ points are collinear. How many lines can be formed from these points?

In how many ways can $3$ letters be posted in $4$ letter-boxes,if all the letters are not posted in the same letter-box?

How many numbers can be formed with the digits $1, 2, 3, 4, 3, 2, 1$ so that odd digits always occupy the odd places?

Vedclass Test Series

Exam Paper Generator

Online Exam Module