The decimal system uses ten symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Because a positional system's base equals the number of distinct digit symbols, the base of decimal is 10. Therefore, the number of distinct digit symbols in decimal is 10.
Option A:
Option A, 9, would omit one symbol and cannot represent all decimal digits. Since we clearly use ten distinct symbols, this count is too small.
Option B:
Option B is correct because counting from 0 to 9 gives ten unique digits used in everyday arithmetic. This property defines decimal as a base-10 system.
Option C:
Option C, 8, would correspond to an octal system, not to decimal. Octal digits range from 0 to 7 only.
Option D:
Option D, 16, describes the hexadecimal system, which uses digits 0β9 and letters AβF, not the decimal system.
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