How many times does the digit 1 occurs in the tens place in the numbers from 100 to 1000?

Again 20 times. Therefore when we list numbers from 1 to 1000 the digit 1 is written 301 times. Note: Don’t forget to count the digit 1 twice in numbers like 11, and also do not forget to count the digit 1 in hundredth’s place in the numbers from 100 to 199 and also in the thousand place number like 1000.

How many times does the digit 0 appear in numbers from 1 to 1000?

The digit zero appears only in the numbers 10, 20, 30, 40, 50, 60, 70, 80, 90, 100. Thus, there are 11 zeros among the digits. This is the same as the number of digits in writing the numbers from 1 to 10. Now let us look at the numbers from 1 to 1000.

How many times do we see the digit 0 in the unit place?

Till 100 we have 10 zeros in the unit place.

When writing the numbers from 1 to 500 how many times will you write the digit 3?

The number of 3 are 3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 43, 53, 63, 73, 83 and 93. Total number of 3’s are 20.

How many times does the digit 1 appear in 1 to 1000?

Thus in the numbers from 1 to 1000, the digit ‘1’ appears 301 times (we have to add 1 for the number ‘1000’, and the number ‘0’ contains no ‘1’). Generate all the integers from 1 to 1000. Separate all the digits, find all the ones, and count them.

How many times does each digit appear in the 1000 permutations?

Each digit must appear the same number of times in the 1000 permutations. There are 3000 digits in all permutations, and these are shared equally between the ten available digits, thus each particular digit (e.g. ‘1’) appears 300 times.

How many times does 1 appear in 10^6 numbers?

Then there is an extra instance of 1 in 1,000,000, so 600,001. A 1 as first digit appears every 10^1 numbers, 1 as second digit appears every 10^2 numbers, , a 1 as sixths digit appears every 10^6 numbers.

Why do we say “roughly” for a given number?

We say “roughly” because there are (very common) boundary conditions. For example, between 1 and 100, the 10’s digit is a 2 exactly 1/10 th of the time. However, between 1 and 37, the 10’s digit is a 2 much more than 1/10 th of the time.