For a local baseball team, there are 15 players on your team. Your team is allowed to have 12 active players and 3 substitutes. a.) Determine the number of ways you can have 12 active players. b.) Baseball has 9 distinctly different positions in the game. Determine the number of ways you can arrange the 9 positions from the 12 active players.

For a local baseball team, there are 15 players on your team. Your team is allowed to have 12 active players and 3 substitutes. a.) Determine the number of ways you can have 12 active players. b.) Baseball has 9 distinctly different positions in the game. Determine the number of ways you can arrange the 9 positions from the 12 active players.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

If a bag contains 4 blue marbles 6 red marbles and 9 green marbles then the number of ways that 3 marbles of the same color can be selected from the bag is : a.18 b. 969 c. 649 d.108
A large research project is looking for more researchers. There are 8 spots open on the research team. There are 10 mathematicians and 14 computer scientists that apply for the team. a. How many different ways can a team of 8 be made for the project? b. How many different ways can a team of 8 be made for the project if the team must contain at least one computer scientist and at least one mathematician.
A new-custom made sweater is made by choosing the color, the material, whether or not the sweater will have a crew or v-neck, and whether or not the sweater will have decorations. If there are 7 colors available and 3 types of materials, how many different sweaters are possible? 35
An appliance store carries 9 types of washing machines and 5 types of dryers. A shopper comes in and buys a washer and dryer. How many possible combination of a washer and dryer did the shopper have to choose from?
There are four Olympians, Anne, Babaganoush, Carol, and David on the Canadian bobsledding team. As shown in the picture, all four members are needed to race at the same time. Only Babaganoush and Carol are qualified to be in the 1st position. Any member can fill the rest of the spots. a.Determine the number of possible arrangements of the team
A group of 16 people is choosing a chairperson and Vice- chairperson. They put all 16 people's names into a hat. The first name drawn become chair. The second name drawn becomes vice-chair. How many possible combinations of chair and Vice-chair are there?
A committee of 5 people is to be formed from the following 10 people: Len, Mia, Max, Ted, Mel, Ann, Jim, Tim, Moe, Kim. How many combinations are there if there must be exactly 3 people on the committee whose names start with 'M'? Select one: O a. 10C5 O b. Oc. O d. 10P5 (4C3) (6C₂) (4P3) (6P2)
After selecting nine players for a baseball game, the manager of the team arranges the batting order so that the pitcher bats last and the best hitter bats third. In how many different ways can the remainder of the batting order be arranged?
The 2015 Ford Mustang Fastback is available in 5 models (V6, GT, etc.) with 10 choices of color, 2 choices of transmission, and 6 types of leather interior. How many different variations of this car does Ms. Thompson have to choose from when she is buying a car?
An ice cream store has 25 flavors to select from. A customer walks in and orders a three-scoop ice cream cone. How many ways can the customer make this selection if... a. the flavors can be the same and the order is important? b. the flavors are different and the order is not important?