A computer interface for a digital studio piano has five microswitches that can be set in either the$"$on$"$ or$$ "off" position. These switches must be set properly for the interface to work. Answer questions$($a$)$ and$($b$).$

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Part $1$

a$.$ In how many different ways can this group of switches be$$ set?

$$

enter your response here different ways

Part $2$

b$.$ If it takes $5$ minutes to set the switches and test to see if the interface is working$$ properly, what is the longest possible time that it would take to find the proper settings by trial and$$ error? Choose the correct answer below.