Final answer:
The number of three-digit numbers with distinct digits that can be formed using the given digits is 120.
Step-by-step explanation:
The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is calculated as follows:
For the first digit, there are 6 choices (1, 2, 3, 5, 8, 9).
For the second digit, there are 5 choices left (the remaining digits).
For the third digit, there are 4 choices left (the remaining digits).
Therefore, the total number of three-digit numbers with distinct digits is 6 x 5 x 4 = 120.
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