10. Ten days before Valentine's Day, Jim plans to send his first love gifts. On the first day, hesent one love gift, on the second day he sent two love gifts, on the third day he sent three lovegifts, and so on.a. How many gifts did Jim send on the tenth day?b. How many gifts in all did he send on the tenth day?

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Answered: 10. Ten days before Valentine's Day,…

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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1. Dr. Orchid has 9 paintings she wants to hang side by side on her wall. (a) In how many ways can she arrange all 9 paintings? Show your work. (b) If she only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? Show your work.
5. Vic has three chicken houses with an average of 23,800 broilers per house. He has broilers in a house for 7 weeks and then the house is empty for 2 weeks. Vic has his operation in a cycle, starting one house at a time throughout the year. a. How often does he start a new group of broilers? b. How many groups are sold per year? c. How many broilers are sold per year if there is a 4.5 percent loss?
You want to thank your professors this year by giving them some cookies. You have 5 professors and 15 cookies, in how many ways can you distribute them given:a. The cookies are identical and each professor gets at least one.b. The cookies are identical and some professors may get none.c. The cookies are unique (each one is a different kind) and some professors might get none.
3. In a house party 6 married couples are celebrating New Year's Eve. When the radio is playing Dancing Queen, each woman wants to dance with a man but not with her own husband. In how many ways can the women decide about their dancing partners?
15) Use the situation below to answer the question that follows. Team Jet has 7 members who won a school competition. Of these 7, 4 members are randomly picked to receive prizes for winning. The 1st member selected wins a $50 gift card; the 2nd person selected wins a $25 gift card; the 3rd person selected wins a $10 gift card; the 4th person selected wins a $5 gift card. The names of Team Jet's members are represented by the first letter of their first names, as displayed in the following table: Name Frank Gina Harriet Inez Jakob Keven Liu Letter F G H I J K L In the box below, complete the remaining three rows of the list that models how to calculate the number of possible ways 4 team members can be selected to win the prizes. 1) FGHIJKL Let Lui win the 1st prize, so select L. 2) 3) 4)

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