Six students are taking a taking a programming class. There are a total of elevenprogramming projects, and students are required to work on these projects ingroups of three. By the end of each project, each group is unhappy, and thestudents never want to work in that particular group of three again (but theyare willing to work with individual students they've worked with before).Is it possible for everyone to finish the class without working in the samegroup twice? If it is possible, provide a schedule; if it is impossible, give a proof.

It is possible for the six students to finish the class without working in the same group twice.…

Answered: Six students are taking a taking a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Camp Rainbow offers overnight summer camp programs for children ages 10 to 14 every summer during June and July. Each camp session is one week and can accommodate up to 200 children. The camp is not coed, so boys attend during the odd-numbered weeks and girls attend during the even-numbered weeks. While at the camp, participants make crafts, participate in various sports, help care for the camp's resident animals, have cookouts and hayrides, and help assemble toys for local underprivileged children. The camp provides all food as well as materials for all craft classes and the toys to be assembled. One cabin can accommodate up to 10 children, and one camp counselor is assigned to each cabin. Three camp managers are on-site regardless of the number of campers enrolled. Following is the cost information for Camp Rainbow's operations last summer: Week Campers 1 116 138 154 98 L2345678 Number of Cost to Run Camp $9,330 102 134 122 108 11,300 12,200 8,000 8,530 10,390 9,830 8,950 E5-14…
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A twenty-something single person is planning a ski vacation. Assume that he has 2 possible destinations: Utah, and Oregon. There are 4 ski areas in Utah with 4 available times for 3 of the areas, and 1 times for the other area. There are 4 ski areas in Oregon with 2 available times for 3 of the areas, and 4 times for the other area. (A "time" refers to a weekend for which there are vacancies at the ski lodge.) A trip plan involves the selection of a location, ski area, and a time. How many possible plans are there?
Families who have pets are classified as having one, two or three pets. Let say that in a given year, 15% of families with one pet move to have 3 pets, and 5% move to have 2 pets; also 6% of all families with 3 pets move to having only one pet, and 4% move to having 2 pets; finally, 4% of all families having 2 pets move to having 1 pet and 6% move to 3 pets. The cost of having 1 pet is close to $500 a year, for 2 it is $750 and for 3 pets $825. What is the expected cost to having one pet, two pet or three pets? Please do fast ASAP fast
A movie studio is scheduling the release of six films-Fiesta, Glaciers, Hurricanes, Jets, Kangaroos, and Lovebird. No two of these films can be released on the same date. The release schedule is governed by the following conditions: Fiesta must be released earlier than both Jets and Lovebird. Kangaroos must be released earlier than Jets, and Jets must be released earlier than Hurricanes. Lovebird must be released earlier than Glaciers. 3. If Glaciers is released earlier than Hurricanes, then each of the following could be true except: A Glaciers is released fourth. Ⓑ Jets is released third. C Kangaroos is released second. D Lovebird is released third. E Lovebird is released fifth.
Alan, Ben and Carl collect NBA cards. They exchange cards among themselves. According to the following scheme: Alan gives Ben as many cards as Ben has and Carl as many cards as Carl has. After that, Ben gives Alan and Carl as many cards as each of them has, and then Carl gives Alan and Ben as many cards as each has. If each finally has 64 cards, with how many cards does each have at the beginning?(work backwards)
A vendor specializing in outdoor gear offers customers three ways to place orders for home delivery. Customers can place orders either in the store, online, or via telephone using a catalog. Of the orders, three-quarters are made online with one-eighth each made in stores or via telephone. Of the online orders, 30% are only for clothing, 30% are only for camping supplies, and 40% are for both. For orders placed in the store, all are for clothing (to order a size that is not in stock). Among orders placed via telephone, 50% are only for clothing, 20% are only for camping supplies, and 30% are for both. Answer parts (a) and (b). (a) Organize these probabilities as a probability table. Purchase Method On-Line In Store Telephone Total Clothing 0.225 0.125 0.0625 0.4125 Purchase Camping 0.225 0.025 0.25 Both 0.3 0. 0.0375 0.3375 Total 0.75 0.125 0.125 1 (Simplify your answers. Type integers or decimals.) (b) What's the probability that the customer orders clothing, either by itself or in…
A wireless carrier offers the following plans that a person is considering. The Family Plan: $ 95 monthly fee, unlimited talk and text on up to 5 lines, and data charges of $ 47 for each device for up to 2 GB of data per device. The Mobile Share Plan: $ 180 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $ 30 for each device up to a shared total of 10 GB of data. Use P for the number of devices that need data plans as part of their cost. Find the model of the total cost of the Family Plan $ Find the model of the total cost of the Mobile Share
Camp Rainbow offers overnight summer camp programs for children ages 10 to 14 every summer during June and July. Each camp session is one week and can accommodate up to 200 children. The camp is not coed, so boys attend during the odd-numbered weeks and girls attend during the even-numbered weeks. While at the camp, participants make crafts, participate in various sports, help care for the camp's resident animals, have cookouts and hayrides, and help assemble toys for local underprivileged children. The camp provides all food.as well as materials for all craft classes and the toys to be assembled. One cabin can accommodate up to 10 children, and one camp counselor is assigned to each cabin. Three camp managers are on-site regardless of the number of campers enrolled. Following is the cost information for Camp Rainbow's operations last summer: Week 12345678 Number of Cost to Run Camp $ 10,010 8,280 11,360 9,870 9,030 11,890 12,110 12,720 Campers 138 94 162 116 124 132 152 168 E5-14…

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