A garage door opener has six toggle switches each with

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A Garage door opener has six toggle switches, each with three settings: up, center, and down.

A) In how many ways can the switches be set?

B) If a thief knows the type of opener involved but does not know the setting, what is the probability that he or she can guess the setting on the first attempt?

C) How many settings are possible in which two switches are up, two are down, and two are in the center?

Reference no: EM13603965

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