Before unveiling the new Tesla Model 3, the company wants to reduce the complexity of manufacturing the new model. At the moment, they are thinking of offering among 6 different colors, and 4 different optional item (sunroof, enhance navigation system, spoiler, and an extended battery pack).

(a) How many ways can users select options for the new model?

(b) The company decides that if they reduce the number of ways cars can be ordered their plant would increase efficiency significantly, but they dont want to eliminate any of the offered options. You have some good ideas on how to change the way cars can be ordered, here is what you come up with:

(i) The extended battery package: which includes the extended battery and spoiler. With this package the customer can add sunroof, nav., and any color. (ii) The basic edition: No extended battery, no spoiler, no sunroof, no enhanced nav. and only 4 nonmetallic colors.

(iii) The intermediate edition: No extended battery and no spoiler, but the customer can choose any color, a sunroof, and enhanced navigation.

How many total ways can vehicles be ordered now?