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Q: What is the four-digit no in which the first digit is one- third the second the third is the sum of the first and second and the last is three times the second?
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How many three digits are there in which all the digit are distinct?

There are the digits 1 through 9 for the first digit. Then, we have 0 through 9 for the second digit - excluding the first digit. For the third digit, we have 0 through 9 excluding the two previous digits


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.


How many possible 3 digit area codes can be created without repeating a number?

The number of 3-digit numbers with no repeated digits is simply 10x9x8 = 720, if you allow, for example, 012 as a 3-digit number. There are 10 digits, any of which might be the first digit. The second digit can be any digit except the digit that was used for the first digit, leaving 9 possibilities. The third digit then has 8 possibilities, since it can't be the same as the first or second digit. The actual number of possible area codes will be lower, because there are additional restrictions on the number combinations for a valid area code. For example, in North America (USA, Canada, etc.), the first digit of an area code cannot be 0 or 1 and the middle digit cannot be 9.


How many three digit numbers with distinct digits?

1000there aren't even 1000 three-digitnumbers...There are the digits 1 through 9 for the first digit. Then, we have 0 through 9 for the second digit - excluding the first digit. For the third digit, we have 0 through 9, excluding the two previous digits for a total of 9*9*8 =81*8 =648 three digit numbers with distinct digits.EDIT- ... to be a little more specific, if your talking about a 3-digit password or unlock code its would be 1000. _-_


If you are not allowed to repeat a digit how many 3-digit numbers can be made from the digits 1 2 3 4 and 5?

60. There are 5 different choices for the first digit, four for the second digit, and three choices for the third digit. According to the fundamental counting principle, you multiply them together to get the total number of possible ways, and 5 x 4 x 3 = 60 Another way to think about it is 5!/3!

Related questions

What is the four digit number in which the first digit is one third of the second the third is the sum of the first and second and the last is three times the second?

1349


What is the largest four digit number such that the second digit is one fourth of the third digit and the third digit is twice the first digit and the last digit is the same as the first digit?

4284


What is bigger 0.1666666667 or 0.06666666667?

Look for the first digit that is different. In this case, the first digit after the decimal point. The number that has the larger digit in this position, is larger. If the first digit is the same, compare the second digit with the second digit, the third digit with the third digit, and so forth, until you find a difference.


You are a three digit number your second digit is four times more than your third digit your first digit is seven less than your second digit?

182


Which digits are always the same in a four digit palindrome?

The first and last, and the second and third.


If you divide my second digit by my first digit you will get my third digit I am more than 260 but less than 280?

263


How do you order rational and irrational numbers?

Write them as decimals, and compare. If the first digit of two numbers is equal, compare the second digit; if the second digit is equal, compare the third digit, etc.


How many threedigit numbers can you make if the first numbercan be 1234 the second number can be 123456 and the third 012?

The first digit has 4 choices for its digit. The second digit has 6 choices and the third has 3. The solution would simply be 4*6*3=72 three digit numbers.


What is the 4 digit number in which the first digit is one fifth of the last and the second and third digits are the last digit multiplied by 3?

1155


What is the 4 digit number in which the first digit is one-fifth of the last and the second and third digits are the last digit multiplied by 3?

1


How many 4 digit numbers can be formed from the digits 12345?

The first digit can have 5 possible numbers, the second digit can have 4, the third 3, the fourth 2. 5


How many three digits are there in which all the digit are distinct?

There are the digits 1 through 9 for the first digit. Then, we have 0 through 9 for the second digit - excluding the first digit. For the third digit, we have 0 through 9 excluding the two previous digits