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Distinct means different from all others. So there can be no repeated digits. Thus, 4124 is not possible because there are two '4' digits.

There are 9 ways to choose the first digit (1-9, as 0 is not possible). Subsequently, there are 9 choices for the second digit, since there are 10 possible digits (0-9), but we can't pick the same one as the first digit. Next, there are 8 ways to choose the 3rd digit, since we can't choose the same as either of the first two digits. Finally, there are 7 ways to choose the 4th digit.

The answer is 9 * 9 * 8 * 7 = 4536.

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Q: How many integers between 1000 and 9999 have distinct digits?
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Related questions

How many odd integers between 1000 and 9999 have distinct digits?

There are 120 of them.


How many integers between 1000-9999 have distinct digits?

9*9*8*7 = 4536


How many integers with distinct digits are there between 1000 and 9999 such that the absolute value of the difference between the first and the last digit is 1?

952 of them.


How many integers with distinct digits are there between 1000 and 9999 such that the absolute value of the difference between the first and the last digit is 3?

An infinite amount


How many positive integers less than 1000 have distinct digits?

10*9*8=720


How many integers are there between 100 and 1000 all of whose digits are odd?

There are 125 of them.


How many odd integers between 1000 and 8000 have only non zero digits?

How many


What is the sum of all the digits between 1000 and 2000?

The sum of all the integers between 1,000 and 2,000 is 1,498,500.


How many integers from 100 to 1000 contain NO repeated digits?

648


How many positive integers less than 1000 have distinct digits and are even?

To determine the number of positive integers less than 1000 with distinct digits and are even, we need to consider the possible combinations of digits. Since the number must be even, the last digit must be even, giving us 5 options (0, 2, 4, 6, 8). For the hundreds digit, we have 9 options (1-9), and for the tens digit, we have 8 options (0-9 excluding the hundreds digit and the last digit). Therefore, the total number of such integers is 5 * 9 * 8 = 360.


How many integers between 1000 and 9999 are divisible by 5 or 7?

There are 2828 integers between 1000 and 9999.


How many integers between 1 and 10 are dividends of 1000?

1, 2, 4, 5, 8, and 10, so only 6 digits.