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User Bdemirka
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2 Answers

4 votes

Using digits 3 to 9, excluding 0, 1, and 2, there are 7 choices for each of the four digits. Therefore, there are possible 4-digit numbers.

If you're restricted to using only the digits 3 through 9 (excluding 0, 1, and 2) to form a 4-digit number, each digit has 7 possible choices.

Therefore, the total number of 4-digit numbers can be calculated as 7 choices for the first digit multiplied by 7 choices for the second digit, and so on, resulting in possible combinations.

This is because for each digit's position, you have 7 options.

Hence, there are 2401 distinct 4-digit numbers that can be formed using the given digits.

User Ondrej Tucny
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7.4k points
3 votes

Using digits 3 to 9, excluding 0, 1, and 2, there are 7 choices for each of the four digits. Therefore, there are
\(7 * 7 * 7 * 7 = 2401\) possible 4-digit numbers.

If you're restricted to using only the digits 3 through 9 (excluding 0, 1, and 2) to form a 4-digit number, each digit has 7 possible choices.

Therefore, the total number of 4-digit numbers can be calculated as 7 choices for the first digit multiplied by 7 choices for the second digit, and so on, resulting in
\(7 * 7 * 7 * 7 = 2401\) possible combinations.

This is because for each digit's position, you have 7 options.

Hence, there are 2401 distinct 4-digit numbers that can be formed using the given digits.

User Tarazed
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7.3k points