Question:

A number lock consists of 3 rings each marked with 10 different numbers. In how many cases the lock cannot be opened?

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Find the total number of settings of the 3 rings, then subtract the single setting that is the correct code.
Updated On: Jul 14, 2026
  • 3^10
  • 10^3
  • 30
  • 999
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The Correct Option is D

Solution and Explanation

Total settings = 10x10x10=1000. Only 1 setting opens the lock. Cases that fail = 1000-1=999.

Final Answer: 999, option (4).
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