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3. A family of 8 goes to a restaurant. The menu has 11 entrees. Answer the...
At a restaurant, you can choose from 3 appetizers, 10 entrees, and 4 desserts. How many...
At a restaurant, you can choose from 3 appetizers, 10 entrees, and 4 desserts. How many different three-course meals can you have?
At a restaurant you can choose from 2 types of main entree out of 4, 3...
At a restaurant you can choose from 2 types of main entree out of 4, 3 sides out of 8, 1 drink from 3, and 2 soups out of 9. Without doubling up, how many ways can you order a meal?
3. a) Suppose your campus bookstore has left in stock 3 copies of the calculus book,...
3. a) Suppose your campus bookstore has left in stock 3 copies of the calculus book, four copies of the linear algebra book, and five copies of the statistics book. In how many different orders can these books be arranged on the shelf? b) Five persons (A, B, C, D, and E) are going to speak at a meeting. In how many orders can they take their turns if B must speak after A? How many if B must speak...
At a table in a restaurant, six people ordered roast beef, three ordered dered turkey, two...
At a table in a restaurant, six people ordered roast beef, three ordered dered turkey, two ordered pork chops, and one ordered flounder. Of course, no two portions of any of these items are absolutely identical. The 12 servings are brought from the kitchen. a. In how many ways can they be distributed so that everyone gets the correct item? b. In how many ways can they be distributed so that no one gets the correct item?
DQuestion 41 4.55 pts Which of the following is the best correction of this poor sentence?...
DQuestion 41 4.55 pts Which of the following is the best correction of this poor sentence? l have learned that cuitures are different everywhere you go so not everyone dresses or acts the same. O Ihave leamed thot cultures' ore different everywhere you go so not everyone dresses or acts the some. 〇1hove leamed that cultures are di伃erent everywhere you go. Therefore, not everyone dresses or octs the same. J hove leamed that cultures are different everywhere you go so,...
Ex 1 We have 8 people in the family. (a) We got 3 different gifts from...
Ex 1 We have 8 people in the family. (a) We got 3 different gifts from Santa under the Christmas tree (yes, somebody did not behave well this year :0. We do not know who these gifts are for. In how many ways can we distribute the gifts? (cach person may get more than one gift) (a) We got 3 different gifts from Santa under the Christmas tro. We do not know who thesc gifts are for. In how many...
Problem 5.There are thirty people attending a show in an amphitheater which has six rows ofseating....
Problem 5.There are thirty people attending a show in an amphitheater which has six rows ofseating. Assume that it is possible (but not necessary) for everyone to sit in a single row, and thatwe don’t care about the amount of space between people in the same row. (a) How many ways may these thirty people sit in the amphitheater? (b) How many ways may these thirty people sit in the amphitheater, if no row is to be leftempty? (c) How...
Please answer the following question: a) In how many ways can a committee of 3 people...
Please answer the following question:
a) In how many ways can a committee of 3 people be selected from a group of 10 people? b) In how many ways (different arrangements) can 8 books be placed on a shelf? c) On an ice cream menu, there are 5 choices of ice cream flavors, 4 choices of toppings and 2 choices of syrups. In how many different ways can the ice cream be ordered, if each order must include one ice...
Suppose a mathematics department has 4 full professors, 8 associate professors, and 3 assis- tant professors....
Suppose a mathematics department has 4 full professors, 8 associate professors, and 3 assis- tant professors. How many ways are there to select a 4-person curriculum committee if (a) at least one full professor is chosen? (b) the committee contains at least one professor of each rank? Suppose, as well, that a 3-person recruitment committee must also be selected. How many ways are there to select both committees if (c) there are no restrictions? (d) the committees must be disjoint?...
1. Instruction: For this problem, you may leave your answer as as unsimplified expressions with f...
1. Instruction: For this problem, you may leave your answer as as unsimplified expressions with factorials, exponents, binomial coefficients, etc. However, you need to include a brief justification for your results (40 points parts (a)-(h): 4 points each; part (h): 8 points In a futuristic dystopian Chicago, society is divided into five factions: Abnegation, Amity Candor, Dauntless and Erudite. At the age of 16, each person is allowed to choose any faction as their permanent social group at the Choosing...
DQuestion 41 4.55 pts Which of the following is the best correction of this poor sentence? l have learned that cuitures are different everywhere you go so not everyone dresses or acts the same. O Ihave leamed thot cultures' ore different everywhere you go so not everyone dresses or acts the some. 〇1hove leamed that cultures are di伃erent everywhere you go. Therefore, not everyone dresses or octs the same. J hove leamed that cultures are different everywhere you go so,...
Ex 1 We have 8 people in the family. (a) We got 3 different gifts from Santa under the Christmas tree (yes, somebody did not behave well this year :0. We do not know who these gifts are for. In how many ways can we distribute the gifts? (cach person may get more than one gift) (a) We got 3 different gifts from Santa under the Christmas tro. We do not know who thesc gifts are for. In how many...
Please answer the following question:
a) In how many ways can a committee of 3 people be selected from a group of 10 people? b) In how many ways (different arrangements) can 8 books be placed on a shelf? c) On an ice cream menu, there are 5 choices of ice cream flavors, 4 choices of toppings and 2 choices of syrups. In how many different ways can the ice cream be ordered, if each order must include one ice...
Suppose a mathematics department has 4 full professors, 8 associate professors, and 3 assis- tant professors. How many ways are there to select a 4-person curriculum committee if (a) at least one full professor is chosen? (b) the committee contains at least one professor of each rank? Suppose, as well, that a 3-person recruitment committee must also be selected. How many ways are there to select both committees if (c) there are no restrictions? (d) the committees must be disjoint?...
1. Instruction: For this problem, you may leave your answer as as unsimplified expressions with factorials, exponents, binomial coefficients, etc. However, you need to include a brief justification for your results (40 points parts (a)-(h): 4 points each; part (h): 8 points In a futuristic dystopian Chicago, society is divided into five factions: Abnegation, Amity Candor, Dauntless and Erudite. At the age of 16, each person is allowed to choose any faction as their permanent social group at the Choosing...
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Question 501 pts
The rental rate of capital to the firm increases. Which of the
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