DiscreateMath: using Combinatonics, Permutation, Tree Diagram 4. A builder of mo

Question

DiscreateMath: using Combinatonics, Permutation, Tree Diagram

4. A builder of modular homes would like to impress his potential customers with the variety of styles of his houses. For each house there are blueprints for three dierent living rooms, four dierent bedroom congurations, and two dierentgaragestyles. Inaddition,theoutsidecanbenishedincedarshingles or brick. How many dierent houses can be designed from these plans?

6. Anautomobiledealerhasseveraloptionsavailableforeachofthreedierent packages of a particular model car: a choice of two styles of seats in three dierent colors, a choice of four dierent radios, and ve dierent exteriors. How many choices of automobile does a customer have?

8. As a freshman, suppose you had to take two of four lab science courses, one of two literature courses, two of three math courses, and one of seven physical education courses. Disregarding possible time conicts, how many dierent schedules do you have to choose from?

Explanation / Answer

Ans(4):

type of living rooms =3

dierent bedroom congurations =4

dierent garage styles =2

type of outside nish = 2

so number of different houses that can be made = 3x4x2x2 = 48

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