A letter lock consists of 4 rings, each ring contains 9 non-zero digits. This lock can be opened by setting a 4 digit code with the proper combination of each of the 4 rings. Maximum how many codes can be formed to open the lock?
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There are 6561 codes can be formed to open the lock.
Step-by-step explanation:
A letter lock consists of 4 rings. Each ring contains 9 non-zero digits.
We can say in other words each ring contains 9 numbers.
Each ring has 9 options to get right number. Each digit can be arrange at different position in 9 different ways.
Therefore, maximum ways of codes = 9 × 9 × 9 × 9
= 9⁴
= 6561 ways
There are 6561 codes can be formed to open the lock.
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