Discussion
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most -.
Answer: C
Each of the three rings has six letters, and they turn independently.
\[ 6 \times 6 \times 6 = 216 \text{ total settings} \]
Exactly one setting opens the lock, so the unsuccessful attempts number at most
\[ 216 - 1 = 215 \]
The "at most" matters: in the worst case every wrong setting is tried before the right one.
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