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Fall 2021 Math m118, Written Homework chapter 3 Name: Clarissa Hem Please work all problems and show your work. Remember, an answer with no justification is no answer. (4 pt. each possible for work and correct answer on three problems, 8 pt. possible for showing good work on the remaining problems). 1. Calculate: 97! a. b. (2 + 6) ! c. 3! + 7! 98! 2. How many four digit even numbers can be constructed from the number set (1, 2, 3, 4, 5, 6, 7, 8, 9} a. If no digit can be used more than once b. If digits can be repeated? 3. A restaurant has a lunch menu special with a choice of 4 appetizers, 6 entrees, 3 salads and 4 soft drinks. In how many ways can you put together your lunch? 4. A couple plans a trip to visit their friends Ann, Bob, Carla, Dana, Erica, Fred and George. Carla, Erica and George live close together, so they want to visit those three consecutively (in any order). In how many ways can they set up their itinerary? 5. A student is ill prepared for a test that has 5 T/F questions and 7 multiple choice questions with 5 possible answers each. In how many ways can he answer if he guesses on every