lock on a bank vault consists of three​ dials, each with 30 positions. In order for the vault to​ open, each of the three dials must be in the correct position. a. How many different possible dial combinations are there for this​ lock? b. What is the probability that if you randomly select a position on each​ dial, you will be able to open the bank​ vault? c. Explain why​ "dial combinations" are not mathematical combinations expressed by the equation nCx=n!x!(n−x)!.

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