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How many seven digit numbers contain the number seven at least once?

To find the total number of seven-digit numbers that contain the number seven at least once, we can use the principle of complementary counting. There are a total of 9,999,999 seven-digit numbers in total. To find the number of seven-digit numbers that do not contain the number seven, we can count the number of choices for each digit (excluding seven), which is 9 choices for each digit. Therefore, there are 9^7 seven-digit numbers that do not contain the number seven. Subtracting this from the total number of seven-digit numbers gives us the number of seven-digit numbers that contain the number seven at least once.


How many seven digit numbers are there when 0 and 4 cannot be the leading number?

If the number can contain repeated digits, the answer is 800000. Without repetition, there are 483840.


What is the digit of seven numbers?

1 million 1,000,000


How many two digit numbers can you form using the digits 1235679 with repetition allowed?

You have seven different digits (symbols) to choose from, so you can form seven different one digit numbers and 7×7=72=49 different two digit numbers.


What 3 digit numbers have one to seven as factors?

420 and 840


What were the typical formats of 1940s phone numbers and how did they differ from modern phone numbers?

In the 1940s, phone numbers typically consisted of a three-digit area code followed by a seven-digit local number, such as "ABC-1234." This format differed from modern phone numbers, which generally have a three-digit area code followed by a seven-digit local number, such as "(123) 456-7890."


What is the smallest seven - digit number that you can form using the combination of numerals 1 and 2?

Assuming a seven digit whole number: 1,111,111. But if you have to use at least one (2) digit, then 1,111,112.


What years were 4 digit phone numbers use in the us?

Four-digit phone numbers were primarily used in the United States before the widespread adoption of area codes and seven-digit dialing. This system was prevalent from the early 20th century until the late 1950s, when the North American Numbering Plan was introduced, requiring the use of three-digit area codes and seven-digit local numbers. The transition to seven-digit dialing became standard as more telephone lines were added and the need for more numbers grew.


How many numbers between 100 and 300 have a digit sum of 4?

Seven of them.


The probability that a number selected from random between 100 and 999 both inclusive will not contatin the digit 7?

For me I think it is conceptually easier to think about the probability that the number will contain the digit seven (and the probability that it does not contain the digit 7 is simply one minus the probability that it does). P(number will contain 7) = P(number is in the seven hundreds) + P(number is not in seven hundreds)*[P(number is in the X hundred seventies)+P(number is not in the X hundred seventies)*P(number ends in seven)] So essentially I am considering all of the numbers in the range that start with seven (i.e., are in the seven hundreds), then all of the numbers in the range that aren't in the seven hundreds but have a 7 in the tens place (i.e., the 170s, 270s, etc., and finally all the numbers that don't have a 7 in the hundred or tens place, but that end in 7). Plugging the numbers into my formula above, I get (100/900)+(800/900)*((10/100)+(90/100)(1/10)) = 7/25 is probability that the number does contain a 7, and 1-(7/25)=18/25 is probability that it does not.


What is the smallest seven digit number that you can form using the combination of numerals 1 and 2 only?

Assuming a seven digit whole number: 1,111,111. But if you have to use at least one (2) digit, then 1,111,112.


How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?

That makes:* 8 options for the first digit * 8 options for second digit * 10 options for the third digit * ... etc. Just multiply all the numbers together.