Question
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: Option C
SINCE EACH RING CONSISTS OF SIX DIFFERENT LETTERS, THE TOTAL NUMBER OF ATTEMPTS POSSIBLE WITH THE THREE RINGS IS = 6 * 6 * 6 = 216. OF THESE ATTEMPTS, ONE OF THEM IS A SUCCESSFUL ATTEMPT.
MAXIMUM NUMBER OF UNSUCCESSFUL ATTEMPTS = 216 – 1 = 215.
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SINCE EACH RING CONSISTS OF SIX DIFFERENT LETTERS, THE TOTAL NUMBER OF ATTEMPTS POSSIBLE WITH THE THREE RINGS IS = 6 * 6 * 6 = 216. OF THESE ATTEMPTS, ONE OF THEM IS A SUCCESSFUL ATTEMPT.
MAXIMUM NUMBER OF UNSUCCESSFUL ATTEMPTS = 216 – 1 = 215.
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