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Answer :
Final answer:
The number of numbers between 5000 and 10000 that can be formed using the digits 1-9 with each digit appearing not more than once is 504.
Explanation:
To find the number of numbers between 5000 and 10000 that can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 with each digit appearing not more than once, we can break down the problem into three parts.
- Choose the first digit: We have 9 options (1-9).
- Choose the second digit: We have 8 options (excluding the digit already chosen).
- Choose the third digit: We have 7 options.
Using the multiplication principle, we can multiply the number of possibilities for each part to find the total number of numbers that can be formed: 9 * 8 * 7 = 504.
Therefore, the correct answer is (d) 504.
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