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A letter lock contains 3 rings and each ring contains 5 letters. Determine the maximum number of false trails that can be made before the lock is opened.

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 A letter lock has 3 rings, each ring containing 5 different letters.

∴ A letter from each ring can be selected in 5 ways.

∴ By using the fundamental principle of multiplication,

a total number of trials that can be made = 5 × 5 × 5 = 125.

Out of these 124 wrong attempts are made and in the 125th attempt, the lock gets opened.

∴ A maximum number of false trials = 124

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