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2.45 A fleet of 10 taxis is to be divided among three airports, A, B, and...
30. a. In how many ways can a club with 15 members be divided into three...
30. a. In how many ways can a club with 15 members be divided into three committees of five members each, with no member serving on more than one committee, if each committee has different duties? If all committees perform the same functions? In how many ways can the club be divided into three commit- tees, each consisting of a chair, a secretary, and three other members, if the committees have different duties and no one serves on more than...
2.53 Suppose that 15 employees are to be divided among 4 job assignments, with 3 going...
2.53 Suppose that 15 employees are to be divided among 4 job assignments, with 3 going to job I, 4 going to job II, 6 going to job III, and 2 going to job IV. Suppose that job I is the least favorite among all employees and that three employees of a certain ethnic group all get assigned to job I. Assuming that they are the only employees among the 15 under consideration who belong to this ethnic group, what...
(a) We want to select three subsets A, B, and C of [n] so that A...
(a) We want to select three subsets A, B, and C of [n] so that A -C and B C C. How many ways can this be done? (b) We want to select three subsets A, B, and C of [n so that ACC, BC C, and An BメØ. How many ways can this be done?
(a) Discuss the three ways that genetic material can be transferred among bacteria. (b)How is this...
(a) Discuss the three ways that genetic material can be transferred among bacteria. (b)How is this achieved in eukaryotic cells?
6. A box contains 8 novels and 7 math books going to loan 6 books to...
6. A box contains 8 novels and 7 math books going to loan 6 books to a friend. How many different (a) You are book selections could your friend receive? going to loan 3 novels and 4 math books to a friend. How (b) You are many different book selections could your friend receive? (c) You are going to loan at least 13 books to a friend. How many different book selections could your friend receive? going to loan at...
2. a) In how many ways can a person choose three DVDs from a collection of eleven DVDs? b) Mark has to run errands after work by going to three places: the bank, grocery store, and post office. In...
2. a) In how many ways can a person choose three DVDs from a collection of eleven DVDs? b) Mark has to run errands after work by going to three places: the bank, grocery store, and post office. In how many different possible orders can he go to the three places? c) In the current baseball season, Cody Bellinger of the LA Dodgers leads the MLB with the highest batting average at .394. (This means that Bellinger rnade a hit...
2. A standard deck consists of 52 cards, Cards are divided into four suits: hearts , diamonds clu...
2. A standard deck consists of 52 cards, Cards are divided into four suits: hearts , diamonds clubs & and spades. Each suit is further divided into 13 ranks:1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, and K. Cards with rank J, Q, or K are known as face cards, How many different 5-card hands can you draw that contain: (a) Exactly three face cards? (b) At least two hearts cards? (c) Two cards of one...
The time between arrivals of taxis is exponentially distributed with a mean of 10 minutes. a)...
The time between arrivals of taxis is exponentially distributed with a mean of 10 minutes. a) You are fourth in line looking for a taxi. What is the probability that exactly 3 taxis arrive within one hour? b) Suppose the other three parties just decided to take the subway and you are now the first in line for the next taxi. Determine the time t such that the probability you wait less than t minutes from now until the next...
The data in the table were collected from randomly selected flights at airports in three cities...
The data in the table were collected from randomly selected flights at airports in three cities and indicate the number of minutes that each plane was behind schedule at its departure. a. Perform a one-way ANOVA using alphaαequals=0.05 to determine if there is a difference in the average lateness of flights from these three airports. b. Perform a multiple comparison test to determine which pairs are different using alphaαequals=0.05 City 1 City 2 City 3 29 48 12 22 24...
6 different books are to be distributed among the 10 students in a class. A student...
6 different books are to be distributed among the 10 students in a class. A student can receive multiple books; for example, it's possible that one student receives all 6 of them. How many ways are there to distribute the books: (a) How many ways are there to distribute the books? (b) ... if Alice gets at least one book? (c) ... if only Alice, Bob, and Chloe receive books? (d) ... if only Alice, Bob, and Chloe receive books...
30. a. In how many ways can a club with 15 members be divided into three committees of five members each, with no member serving on more than one committee, if each committee has different duties? If all committees perform the same functions? In how many ways can the club be divided into three commit- tees, each consisting of a chair, a secretary, and three other members, if the committees have different duties and no one serves on more than...
2.53 Suppose that 15 employees are to be divided among 4 job assignments, with 3 going to job I, 4 going to job II, 6 going to job III, and 2 going to job IV. Suppose that job I is the least favorite among all employees and that three employees of a certain ethnic group all get assigned to job I. Assuming that they are the only employees among the 15 under consideration who belong to this ethnic group, what...
(a) We want to select three subsets A, B, and C of [n] so that A -C and B C C. How many ways can this be done? (b) We want to select three subsets A, B, and C of [n so that ACC, BC C, and An BメØ. How many ways can this be done?
6. A box contains 8 novels and 7 math books going to loan 6 books to a friend. How many different (a) You are book selections could your friend receive? going to loan 3 novels and 4 math books to a friend. How (b) You are many different book selections could your friend receive? (c) You are going to loan at least 13 books to a friend. How many different book selections could your friend receive? going to loan at...
2. a) In how many ways can a person choose three DVDs from a collection of eleven DVDs? b) Mark has to run errands after work by going to three places: the bank, grocery store, and post office. In how many different possible orders can he go to the three places? c) In the current baseball season, Cody Bellinger of the LA Dodgers leads the MLB with the highest batting average at .394. (This means that Bellinger rnade a hit...
2. A standard deck consists of 52 cards, Cards are divided into four suits: hearts , diamonds clubs & and spades. Each suit is further divided into 13 ranks:1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, and K. Cards with rank J, Q, or K are known as face cards, How many different 5-card hands can you draw that contain: (a) Exactly three face cards? (b) At least two hearts cards? (c) Two cards of one...
6 different books are to be distributed among the 10 students in a class. A student can receive multiple books; for example, it's possible that one student receives all 6 of them. How many ways are there to distribute the books: (a) How many ways are there to distribute the books? (b) ... if Alice gets at least one book? (c) ... if only Alice, Bob, and Chloe receive books? (d) ... if only Alice, Bob, and Chloe receive books...
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