A starting lineup in basketball consists of 2 guards, 2 forwards, and 1 center. (a)  A certain college team has on its roster 5 guards, 4 forwards, 3 centers. How many different starting lineups can be created? (b)  Suppose that Mary is listed on the roster as a forward, and Alice is listed on the roaster as a center. Assume that, for a given starting lineup, all players are randomly chosen for each role among qualified players on the roster (guards are chose among guards only, etc.). What is the probability that Mary and Alice will get on the lineup?

Q: .A college freshman must take a science course, a humanities course, and a mathematics course. If…

A: Solution

Q: Jason wants to dine at three different restaurants during a summer getaway. If two of ten available…

A:

Q: A starting lineup in basketball consists of two guards, two forwards, and a center. (a) A certain…

A: Given information is :  starting line-up in basketball consists of 2 guards, 2 forwards and 1 center

Q: (a) Construct the Markov diagram for this the locations of this game and show that the associate…

A: From the given information, The rules are: There are 6 locations: Kitchen, Ballroom, Dining Room,…

Q: If A={2,3,5,8,13}, B={1,2,3,4,5,6}, and C={2,4,6,8,10}, then what is (B∪C)∩(A∪B)?

A:

Q: 1. A college student is choosing 3 classes to take during first, second, and third semester from the…

A: Answer is mentioned below

Q: Suppose that a team of 10 players is to be selected from a pool of 30 players, of which 16 are men…

A:

Q: A shipment of 9 television sets includes three that are defective. In how many ways can a hotel…

A:

Q: 3. Three men and three women were nominated for THREE positions on the school board. Suppose the…

A: The three men are named A, B, and C.The three women are named D, E, and F.Given exactly one man and…

Q: A pharmaceutical company recently hired 4 biologists, 6 chemists, 5 environmental scientists, and 2…

A: Given:A pharmaceutical company recently hired4 biologists6 chemists5 environmental scientists2…

Q: A basketball squad consists of twelve players. (a) Disregarding positions, in how many ways can a…

A: To find the number of ways of different team possible.

Q: (a) A certain college team has on its roster three centers, four guards, four forwards, and one…

A: It is givem that a starting line-up in basketball consists of 2 guards, 2 forwards and 1 center

Q: 9.) Constructing a test: A teacher is constructing a mathematics test consisting of 10 questions.…

A:

Q: A particular American football play has eleven players: one quarterback, one running back, one…

A: Given data: A particular American football play has eleven players: One quarterback, one running…

Q: Club A has 20 computer science majors and Club B has 17 engineering majors. For questions a) and b)…

A: Given- Club A has 20 computer science majors and Club B has 17 engineering majors. To find-  Club A…

Q: A deck of 52 cards is equally dealt to 4 players. Find the number of ways to distribute the cards so…

A: 52 cards are equally dealt by 4 players. So, each player will get 13 cards. To determine the…

Q: In a bucket of tacos, we have 4 spicy beef tacos, 6 spicy chicken tacos, and 6 mild beef tacos. If…

A:

Q: A shoe has twelve eyelets. A shoelace can go through each eyelet in two different ways: one way…

A: A shoe has twelve eyelets. A shoelace can go through each eyelet in two different ways: one way…