how many itineraries are possible?
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we are planning a trip to the beautiful state of wisconsin. in constructing the itinerary, we want to visit the following five cities: Milwaukee, Madison, Green Bay, Appleton and Oshkosh. if Milwaukee and Madison must be visited consecutively, how many itineraries are possible?
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- Mr. Smith decides to organize a potluck party with neighbors on a weekend. John Smith and his wife Mary Smith and his daughter Judy Smith will prepare three different salad dishes. John's right side neighbor Jenny Jones and Bob Jones will prepare two desserts. John's left side neighbor Linda will prepare one meat dish. John's cross street neighbor Sue will prepare soup. John wants to figure out how many different ways for him to taste all dishes in order (assuming he will taste all salads, meat, desserts and soup). (Note : For example, "Salad, Soup, Salad, Meat, Dessert, Salad, Dessert" is one of the possible order he can try.There are 100 students who are taking history or sociology. If 10 are taking both courses and 45 are taking just history, how many are taking sociology? Why is it not 45? Use a venn diagram for this problem.A student planning her curriculum for the upcoming year must select one of three business courses, one of five mathematics courses, two of ten elective courses, and either one of four history courses or one of three social science courses. How many different curricula are available for her consideration? different curricula
- 2) Sheila scored 75, 80, 100, 60, and 85 on her last five history tests. She has a final exam that will count as two exams. What score must Shiela obtain on this final exam in order to earn the grade of B? the grading scale for B is 80-89.A large bakery has many different products for sale. Suppose that 200 come in between 6am and 10am. Of the 200 customers 140 order donuts, 100 order cinnamon rolls, and 80 order both. Make a Venn Diagram to model the situation.The kindergartners and first and second graders were talking about their favorite field trips during the school year. One of the teachers, Ms. Brewer, turned the discussion into a math lesson, and the students conducted a survey. Each child wrote down on paper which trip was his or her favorite. (Note that many children named more than one field trip as their favorite.) The survey revealed that 55 wrote down the trip to the river, 48 indicated the trip to the police station, and 38 included the trip to the hardware store. The police station and the river were chosen on 32 papers, 26 papers included both the river and the hardware store, and 22 children wrote down the police station and the hardware store on their papers. Ms. Burke counted 17 papers that included all three and one that did not list any of the three trips. How many children were surveyed? How many children wrote down the river but not the police station? How many children did not list the hardware store?
- A married couple decides to have a party. The husband has 8 friends and the wife has 9 friends. Unfortunately, none of the husband’s friends will attend a party that is attended by any of his wife’s friends. How many different parties of size 4 can the couple have?It’s the first day of summer camp, and the counselors are trying to figure out where one of the campers will sleep. There are four beds available in Cabin #1, five in Cabin #2, and just one in Cabin #3. How many ways in all are there to assign the camper to a bed?During the summer, a tourist plans to visit sixdifferent parks. She intends to visit each park onlyonce. She would like to plan the most efficientroute, and decides to list all the possible routes.How many different routes are possible?