Suppose that 8 people are shopping , and all approach the 4 open cash registers at...
Suppose that 8 people are shopping , and all approach the 4 open cash registers at once. How many different ways can the people be arranged in the 4 lines, assuming each line has an equal number of people?
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Suppose that 8 people are shopping , and all approach the 4 open
cash registers at...
PROBLEM1 There are 17 people in an office with 4 different phone lines. If all the...
PROBLEM1 There are 17 people in an office with 4 different phone lines. If all the lines begin to ring at once, how many groups of 4 people can answer these lines? Please enter your answer in the box below. Answer:
Question 1 160 pts Question 1. A class consists of 4 boys and 5 girls. Answer...
Question 1 160 pts Question 1. A class consists of 4 boys and 5 girls. Answer the following questions: (a) In how many different ways can they be arranged along a line such that the boys are all together and the girls are also all together? (b) In how many different ways can the class be arranged along a circle? (c) In how many different ways can a group of 4 students be selected from the class such that there...
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...
46) 46) Elise has put 5 cans (all of the same size) on her kitchen counter,...
46) 46) Elise has put 5 cans (all of the same size) on her kitchen counter, 2 cans of vegetables, 2 cans of soup, and 1 can of poaches. Her son, Ryan, takes the labels off the cans and throws them away. Elise then choones 2 cans (without replacement) at random to open. Find the probability that she will open at least I can of soup A) 7 10 B) Solve the problem 47) How many four-digit numbers can be...
2. Suppose 6 people will be lined up to get on a bus. Find the number...
2. Suppose 6 people will be lined up to get on a bus. Find the number of different ways they can be ordered under the following contitions. a) If 3 specific persons, among 6, insist on following each other, how many ways are possible? b) If 2 specific persons, among 6, refuse to follow each other, how many ways are possible?
Please do question 19 and 27. Please show all work 19) A) How many different area...
Please do question 19 and 27. Please show all work 19) A) How many different area code 909 telephone numbers are possible? Assume that the first digit of any phone number cannot be 0 or 1. ) B) Suppose a computer requires eight characters for a password. The first three characters must be letters and the remaining five characters must be numbers. How many passwords are possible? 27) In how many ways can 8 people be arranged for a photograph...
4. Which of the followings is equivalence relation on the set of all people (2 points)...
4. Which of the followings is equivalence relation on the set of all people (2 points) is a father of" is an ancestor of" "have the same child' "have the same parents is an uncle of 5. Students need to answer 8 out of 10 questions in biology exam. a) Find the number of the ways a student can choose the 8 questions. b) In how many ways can a student choose 8 questions if the first three questions are...
3 men and 5 women (each of the 8 being different from all the rest) are lined up for a photograph. Also in the line are...
3 men and 5 women (each of the 8 being different from all the rest) are lined up for a photograph. Also in the line are 3 identical armadillos (as you may know, armadillos are born in litters in which each infant armadillo has identical DNA). These 3 armadillos are completely indistinguishable from each other (a) How many ways can the 8 humans and 3 armadillos be lined up for the photo? (b) How many ways can they all line...
3. A family of 8 goes to a restaurant. The menu has 11 entrees. Answer the...
3. A family of 8 goes to a restaurant. The menu has 11 entrees. Answer the following questions. (Explain your answers.) (a) (3 points) How many ways can everyone order an entree so that all entrees are different? (b) (3 points) How many ways can everyone order an entree if at least one person orders the most expensive entree and at least one person orders the least expensive entree? (c) (3 points) How many ways can everyone order an entree...
10 people are seated to a 10 people spot in a row in the movies (a)...
10 people are seated to a 10 people spot in a row in the movies (a) How many different ways can they sit? (b) Suppose the 10 are five married couples who all want to sit with their spouses. How many ways can they sit? e) Suppose that Adam (one of the husbands) and Suzie (ane of the wives, not married to Adam) cannot stand each other. How many different sittings are there possible? (Each will still sit with their...
PROBLEM1 There are 17 people in an office with 4 different phone lines. If all the lines begin to ring at once, how many groups of 4 people can answer these lines? Please enter your answer in the box below. Answer:
Question 1 160 pts Question 1. A class consists of 4 boys and 5 girls. Answer the following questions: (a) In how many different ways can they be arranged along a line such that the boys are all together and the girls are also all together? (b) In how many different ways can the class be arranged along a circle? (c) In how many different ways can a group of 4 students be selected from the class such that there...
46) 46) Elise has put 5 cans (all of the same size) on her kitchen counter, 2 cans of vegetables, 2 cans of soup, and 1 can of poaches. Her son, Ryan, takes the labels off the cans and throws them away. Elise then choones 2 cans (without replacement) at random to open. Find the probability that she will open at least I can of soup A) 7 10 B) Solve the problem 47) How many four-digit numbers can be...
2. Suppose 6 people will be lined up to get on a bus. Find the number of different ways they can be ordered under the following contitions. a) If 3 specific persons, among 6, insist on following each other, how many ways are possible? b) If 2 specific persons, among 6, refuse to follow each other, how many ways are possible?
4. Which of the followings is equivalence relation on the set of all people (2 points) is a father of" is an ancestor of" "have the same child' "have the same parents is an uncle of 5. Students need to answer 8 out of 10 questions in biology exam. a) Find the number of the ways a student can choose the 8 questions. b) In how many ways can a student choose 8 questions if the first three questions are...
3 men and 5 women (each of the 8 being different from all the rest) are lined up for a photograph. Also in the line are 3 identical armadillos (as you may know, armadillos are born in litters in which each infant armadillo has identical DNA). These 3 armadillos are completely indistinguishable from each other (a) How many ways can the 8 humans and 3 armadillos be lined up for the photo? (b) How many ways can they all line...
3. A family of 8 goes to a restaurant. The menu has 11 entrees. Answer the following questions. (Explain your answers.) (a) (3 points) How many ways can everyone order an entree so that all entrees are different? (b) (3 points) How many ways can everyone order an entree if at least one person orders the most expensive entree and at least one person orders the least expensive entree? (c) (3 points) How many ways can everyone order an entree...
10 people are seated to a 10 people spot in a row in the movies (a) How many different ways can they sit? (b) Suppose the 10 are five married couples who all want to sit with their spouses. How many ways can they sit? e) Suppose that Adam (one of the husbands) and Suzie (ane of the wives, not married to Adam) cannot stand each other. How many different sittings are there possible? (Each will still sit with their...
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