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How many integers between 1000 and 9999 have distinct digits? - Answers

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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How many integers between 1000 and 9999 have distinct digits? - Answers

https://math.answers.com/basic-math/How_many_integers_between_1000_and_9999_have_distinct_digits

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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https://math.answers.com/basic-math/How_many_integers_between_1000_and_9999_have_distinct_digits

How many integers between 1000 and 9999 have distinct digits? - Answers

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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      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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