Three decimal digit positions can each take any of 10 values from 0 to 9. The total number of possible combinations is 10×10×10 = 1000. These range from 000 to 999, providing 1000 distinct integer values.
Option A:
Option A, 9, dramatically underestimates the combinations, considering only the range of a single digit rather than three positions.
Option B:
Option B, 10, is the number of symbols available for each digit but not the total combinations formed by three positions.
Option C:
Option C, 100, is the number of two-digit combinations from 00 to 99. With three digits, the combinations grow by another factor of 10.
Option D:
Option D is correct because three positions in base 10 yield 10^3 = 1000 unique patterns. This is a direct application of the multiplication principle.
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