1. A component subassembly consists of five pieces which can be assembled in any order. A production test is to be designed to determine the minimum time required to assemble the subassembly. If each sequence of assembly is to be tested once, how many tests need to be conducted?
2. A person is shopping for a new car. One dealer offers a choice of five body styles, four engine types, ten color combinations, three transmissions, and three accessory packages. How many different cars are there to choose from?