D. Five students are to be allocated into three distinguishable teams. a. How many distributions are there? In other words how many different possible sizes can the teams have? (Include empty teams.) e.g. "Team 1 and 2 each have two members and Team 3 has one member" is one of the distributions being counted; perhaps 221 is a good way to represent this distribution. Enumerate (list out) all possible distributions and then check your answer with the appropriate formula. b. Suppose a distribution is chosen: two students will be on the first and second teams each, whle a single student will be on the third team. How many different combinations of teams are there? e.g. "Team 1: Alicia and Carlos, Team 2: Davina and Bob, Team 3: Erik" is one of the combination: of teams being counted. Perhaps AC DB|E is a good way to represent these teams. Enumerate all possible combinations of teams and check your answer with the appropriate formula.
D. Five students are to be allocated into three distinguishable teams. a. How many distributions are there? In other words how many different possible sizes can the teams have? (Include empty teams.) e.g. "Team 1 and 2 each have two members and Team 3 has one member" is one of the distributions being counted; perhaps 221 is a good way to represent this distribution. Enumerate (list out) all possible distributions and then check your answer with the appropriate formula. b. Suppose a distribution is chosen: two students will be on the first and second teams each, whle a single student will be on the third team. How many different combinations of teams are there? e.g. "Team 1: Alicia and Carlos, Team 2: Davina and Bob, Team 3: Erik" is one of the combination: of teams being counted. Perhaps AC DB|E is a good way to represent these teams. Enumerate all possible combinations of teams and check your answer with the appropriate formula.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 20E: A pair of dice is rolled, and the numbers showing are observed. List the sample space of this...
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Transcribed Image Text:**Five students are to be allocated into three distinguishable teams.**
**a.** How many distributions are there? In other words, how many different possible sizes can the teams have? (Include empty teams.) For example, “Team 1 and 2 each have two members and Team 3 has one member” is one of the distributions being counted; perhaps 221 is a good way to represent this distribution. Enumerate (list out) all possible distributions and then check your answer with the appropriate formula.
**b.** Suppose a distribution is chosen: two students will be on the first and second teams each, while a single student will be on the third team. How many different combinations of teams are there? For example, “Team 1: Alicia and Carlos, Team 2: Davina and Bob, Team 3: Erik” is one of the combinations of teams being counted. Perhaps AC | DB | E is a good way to represent these teams. Enumerate all possible combinations of teams and check your answer with the appropriate formula.
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