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Question

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A. $ 124 $

B. $ 125 $

C. $ 120 $

D. $ 75 $

Answer

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A letter lock consists of three rings each marked with $ 5 $ different letters.

As per given that the letter lock consists of three rings each marked with $ 5 $ different letters.

So, the number of ways for opening the first ring is equal to $ 5 $ as it is marked with $ 5 $ different letters.

In a similar manner, the number of ways for opening the second ring is equal to $ 5 $ as it is marked with $ 5 $ different letters.

In a similar manner, the number of ways for opening the third ring is equal to $ 5 $ as it is marked with $ 5 $ different letters.

So, the total number of ways of opening the letter lock will be the product of all the number of ways for opening the rings.

So, the number of ways for opening the letter lock is equal to $ 5 \times 5 \times 5 = 125 $ .

So, the number of maximum attempts to open the lock is equal to $ 125 $

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