DiscreateMath: using Combinatonics, Permutation, TreeDiagram 4. A builder of modular homes would lik

DiscreateMath: using Combinatonics, Permutation, TreeDiagram 4. A builder of modular homes would like to impress hispotential customers with the variety of styles of his houses. Foreach house there are blueprints for three different living rooms,four different bedroom configurations, and two differentgaragestyles.Inaddition,theoutsidecanbefinishedincedarshingles or brick. How manydifferent houses can be designed from these plans? 6.Anautomobiledealerhasseveraloptionsavailableforeachofthreedifferentpackages of a particular model car: a choice of two styles of seatsin three different colors, a choice of four different radios, and fivedifferent exteriors. How many choices of automobile does a customerhave? 8. As a freshman, suppose you had to take two of four labscience courses, one of two literature courses, two of three mathcourses, and one of seven physical education courses. Disregardingpossible time conflicts, how many different schedules do you have tochoose from? . . .