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please answer parts a through c.

A lock on a bank vault consists of three dials, each with 20 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 $nC_{x}=x!(n?x)!n!?$. a. There are possible dial combinations for this lock.

a. Since there are three dials and each dial has 20 positions, the total number of possible combinations is the product of the number of positions on

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