The basketball team has 12 players. How many ways can five of them be chosen to play...

Question

Question

The basketball team has 12 players. How many ways can five of them be chosen to play on the floor if they are each assigned a particular position (center, power forward, small forward, point guard, shooting guard)?

engineering Computer-Science

Answer 1

Answer #1

That is using 12 things in combinations of 5:

! = factorial, where ( example !4 =4*3*2*1)

(12- 5)! = 7! (or 1 x 2 x 3 x 4 x 5 x 6 x 7) = 5,040 different combinations of 5.

Answer 2

Similar Homework Help Questions

ira basketball team has 8 players, how many arrangements are there for the five different positions...

ira basketball team has 8 players, how many arrangements are there for the five different positions point guard, shooting guard, small forward, power forward, and center)?
5. You are a coach of a basketball team that has eight players. At all times,...

5. You are a coach of a basketball team that has eight players. At all times, five players can be on the floor. a. How many different teams of players can be put on the floor assuming you ignore positions? b. How many different teams of players can be put on the floor if you assume the positions of point guard, shooting guard, power forward, small forward, and center? c. How many different teams of players can be put on...
Q1. Given the upcoming NBA (professional basketball) draft, there are several players available with skills at...

Q1. Given the upcoming NBA (professional basketball) draft, there are several players available with skills at different positions (e.g., point guard) and with or without college experience. The table below summarizes these data. (Use the data below for this question only) College Experience (CE) No College Experience (NCE) Point Guard (PG) 20 39 Shooting Guard (SG) 24 25 Center (C) 30 20 Small Forward (SF) 25 13 Power Forward (PF) 26 24 Find the following probability: Q2. Given the upcoming NBA (professional basketball) draft, there are several players available...

A starting eup in basketball consists of two guards, two forwards, and a center (a) A...

A starting eup in basketball consists of two guards, two forwards, and a center (a) A certain college team has on its roster three centers, five guards, three forwards, and one individual (X) who can play either guard or forward. How many different starting lineups can be created? t: Consider lineups without X, then lineups with X as guard, then lineups with X as forward.] (h) Now suppose the roster has 5 guards, 4 forwards, 4 centers, and 2 "swing...
Assume a basketball team has 7 guards, 6 forwards, and 2 centers. How many ways are...

Assume a basketball team has 7 guards, 6 forwards, and 2 centers. How many ways are there to pick 5 of them under the following conditions? 2 have to be guards, 2 have to be forwards, and 1 has to be a center. Show work.
A starting lincup in basketball consists of two guards, two forwards, and a center. (a) A...

A starting lincup in basketball consists of two guards, two forwards, and a center. (a) A certain college team has on its roster three centers, four guards, three forwards, and one individual (X) who can play either guard or forward. How many different starting lineups can be created? Hint: Consider lneups without X, then lineups with X as guard, then lineups with X as forward.] 144 lineups b) Now suppose the roster has 3 guards, 5 forwards, 4 centers, and...

You are playing basketball and have to pick a team of five players from a pool...

You are playing basketball and have to pick a team of five players from a pool of ten people. How many different teams can you make? (order doesn't matter, just the members of the team)
A starting lineup in basketball consists of two guards, two forwards, and a center (a) A...

A starting lineup in basketball consists of two guards, two forwards, and a center (a) A certain college learn has on its roster three centers, five guards, three forwards, and one individual (X) who can play either guard or forward. How many different slarting lneps can be crealed? [Hint: Consider lineups without X, then lineups with X as guard, then lineups with X as forward.! lineups (b) Now suppose the roster has 5 guards, 4 forwards, 4 centers, and 2...
A class has 10 students. How many different ways are there to make two basketball teams...

A class has 10 students. How many different ways are there to make two basketball teams with 5 players on each team?

C++ Language Overview: Design an APP for a basketball team with a unique name. There should be at least 10 players. The member variables required include team member’s names, jersey number, position p...

C++ Language Overview: Design an APP for a basketball team with a unique name. There should be at least 10 players. The member variables required include team member’s names, jersey number, position played, and at least 3 stats. Positions are small forward, power forward, center, shooting guard and point guard. 1. A.) Design a class with member variables and appropriate member functions Data should be stored in a read/write file consisting of team member’s names, jersey number, position played, and...