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Question

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


Solution

No. of rings in a lock $$=3$$
No. of different letters $$=10$$
$$\therefore$$ Total No. of attempts $$=(10\times 10\times 10)=1000$$
No. of successful attempts $$=1$$
$$\therefore$$ Total No. of unsuccessful attempt $$=(1000-1)=999$$ attempts

Mathematics

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