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27: 077,177,277,377,477,577,677,877,977,717,727,737,747,757,767,777,787,797

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Q: How many three digit numbers contain at least two sevens?
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How many numbers between 100 and 600 have a 7 for at least one of the digits?

There aren't going to be any 7's in the hundreds digit, so first we look at how many there will be in the ones digit. Since there will be a 7 for every 10 numbers, and there are 501 numbers between 100 and 600 inclusive), we'll have floor(501 / 10) = 50 sevens in the ones digit. For the tens digit, we'll encounter 10 sevens for every 100, from 70 to 79, and so we have floor(501 / 100) = 5 times we'll have 70 - 79 so that's 5 * 10 = 50 sevens in the tens digit. However, we don't want to know how many sevens there are, we want to exclude overlaps. Thus we subtract every instance of 77 we see (overlap!), and we have floor(501 / 100) = 5 overlaps. 50 + 50 - 5 = 95, so a total of 95 numbers will have the digit 7 at least once.


What proportion of the first 10000 natural numbers contain a 5?

271 of the first 1000 natural numbers contain at least one digit 5. That is 27.1 % of them.


What is the least possible sum of two 4-digit numbers?

what is the least possible sum of two 4-digit numbers?what is the least possible sum of two 4-digit numbers?


How many numbers between 1 and 999999 contain at least one 1?

We are to calculate the number of 1-digit to 6-digit numbers (i.e. numbers less than one million) that have at least one 1. Let's divide this into six cases by the number of digits in the number.For one digit numbers, the only number is 1 - 1 such number.For two digit numbers, we can find the number which do not contain a 1 more easily. There are 8 possible digits for the tens place (0 and 1 are not allowed), and 9 digits for the ones place (1 is not allowed). Thus we have 8 * 9 = 72 which do not work. There are 90 two digit numbers, so 90 - 72 = 18 such numbers.For three digit numbers, we will proceed in the same manner. There are 900 total 3 digit numbers, of which 8 * 9 * 9 = 648 numbers which do not contain a 1. The remaining 900 - 648 = 252 numbers contain at least 1 one - 252.For four digit numbers, continuing in the same manner we have 8 * 9 * 9 * 9 = 5832 which are not good out of the 9000 total. So, 9000 - 5832 = 3168.For five digit numbers, we have 8 * 9 * 9 * 9 * 9 = 52488. The remaining 90000 - 52488 = 37512 are good.For six digit numbers, we have 8 * 9 * 9 * 9 * 9 * 9 = 472392. The reamining 900000 - 472392 = 427608 are good.Finally, adding all of the totals, we have 1 + 18 + 252 + 3168 + 37512 + 427608 = 468,559 numbers between 1 and 999999 which contain at least 1 one.


What are the greatest and least 6 digit numbers in which the digit in the ten thousands place is twice the digit in the tens place?

Greatest: 989949 Least: 100000

Related questions

How many 3 digit numbers contain the digit 2 at least once?

252


How many 3 digit numbers are there that contain at least 1 seven?

252


How many five-digit counting numbers contain at least one 6?

46000


How many numbers between 100 and 600 have a 7 for at least one of the digits?

There aren't going to be any 7's in the hundreds digit, so first we look at how many there will be in the ones digit. Since there will be a 7 for every 10 numbers, and there are 501 numbers between 100 and 600 inclusive), we'll have floor(501 / 10) = 50 sevens in the ones digit. For the tens digit, we'll encounter 10 sevens for every 100, from 70 to 79, and so we have floor(501 / 100) = 5 times we'll have 70 - 79 so that's 5 * 10 = 50 sevens in the tens digit. However, we don't want to know how many sevens there are, we want to exclude overlaps. Thus we subtract every instance of 77 we see (overlap!), and we have floor(501 / 100) = 5 overlaps. 50 + 50 - 5 = 95, so a total of 95 numbers will have the digit 7 at least once.


What proportion of the first 10000 natural numbers contain a 5?

271 of the first 1000 natural numbers contain at least one digit 5. That is 27.1 % of them.


How many five digit counting numbers contain at least one 6?

i think alot like 100 at least


What is the least possible sum of two 4-digit numbers?

what is the least possible sum of two 4-digit numbers?what is the least possible sum of two 4-digit numbers?


If the houses on main street are numbered 1 to 150 how many house numbers contain a least one digit 91 and 4?

10293330201309i31841481389


What is the least six digit numbers?

100,000


How many of the integers from 1 to 200 contain the digit 1 at least twice?

There are twelve instances where the integers from 1 to 200 contain the digit 1 at least twice:-11,101,110,111,121,131,141,151,161,171,181,191.


How many numbers between 1 and 999999 contain at least one 1?

We are to calculate the number of 1-digit to 6-digit numbers (i.e. numbers less than one million) that have at least one 1. Let's divide this into six cases by the number of digits in the number.For one digit numbers, the only number is 1 - 1 such number.For two digit numbers, we can find the number which do not contain a 1 more easily. There are 8 possible digits for the tens place (0 and 1 are not allowed), and 9 digits for the ones place (1 is not allowed). Thus we have 8 * 9 = 72 which do not work. There are 90 two digit numbers, so 90 - 72 = 18 such numbers.For three digit numbers, we will proceed in the same manner. There are 900 total 3 digit numbers, of which 8 * 9 * 9 = 648 numbers which do not contain a 1. The remaining 900 - 648 = 252 numbers contain at least 1 one - 252.For four digit numbers, continuing in the same manner we have 8 * 9 * 9 * 9 = 5832 which are not good out of the 9000 total. So, 9000 - 5832 = 3168.For five digit numbers, we have 8 * 9 * 9 * 9 * 9 = 52488. The remaining 90000 - 52488 = 37512 are good.For six digit numbers, we have 8 * 9 * 9 * 9 * 9 * 9 = 472392. The reamining 900000 - 472392 = 427608 are good.Finally, adding all of the totals, we have 1 + 18 + 252 + 3168 + 37512 + 427608 = 468,559 numbers between 1 and 999999 which contain at least 1 one.


How many thousands are there in Ten Thousands?

There are 9000 4 digit numbers Find 4 digit numbers that are all different from 1 find 4 digit numbers that are all different from 1 The thousands digit has 8 ways to choose, hundreds, tens, and units all have 9 ways => there are 8 x 9 x 9 x 9 = 5832 digits => 4 digit numbers contain at least 1 digit 1 = number of 4 digit numbers , the number of 4 digit numbers is different by digit 1 =9000 - 5832 = 3168 numbers