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Question

A letter lock consists of three rings each are marked with 10 different letters. Find the number of ways in which it is possible to make an unsuccessful attempts to open the lock.


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Solution

Total number of attempts =10×10×10=1000

Number of unsuccessful attempts = Number of total attempts - Number of successful attempts

=10×10×101=10001=999.

Therefore, the number of ways in which it is possible to make an unsuccessful attempts to open the lock is 999.


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