A class is choosing a president, a vice president, and a treasurer. There are three students running for president: Linda, Ann, and Maria. There are two students running for vice president: John and Bob. There are two students running for treasurer: Amanda and Jessica. The tree diagram below shows the possible outcomes. Use the diagram to answer the questions. President Vice President Treasurer Outcome (Linda. John. Amanda) (Linda, John. Jessica (Linda, Bob. Amanda) (Linda. Bob. Jessica) (Ann, John, Amanda) (Ann. John. Jessica) (Ann. Bob. Amanda) (Ann, Bob, Jessica) (Maria, John. Amanda) (Maria, John. Jessica (Marla, Bob, Amanda) (Maria. Bob. Jessica) Amanda John Jessica Linda Amanda Bob Jessica Amanda John Jessica Ann Amanda Bob Jessica Amanda John Jessica Maria Amanda Bob Jessica (a) How many outcomes are there? outcome(s) (b) How many outcomes have Linda or Ann being chosen? Ioutcome(s) (c) How many outcomes have both Bob and Jessica being chosen? |outcome(s) Vv

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Chapter1: Combinatorial Analysis
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26.
A class is choosing a president, a vice president, and a treasurer.
There are three students running for president: Linda, Ann, and Maria.
There are two students running for vice president: John and Bob.
There are two students running for treasurer: Amanda and Jessica.
The tree diagram below shows the possible outcomes. Use the diagram to answer the questions.
President Vice President Treasurer
Outcome
(Linda. John, Amanda)
(Linda, John. Jessica
(Linda, Bob, Amanda)
(Linda, Bob. Jessica)
(Ann, John. Amanda)
(Ann. John. Jessica)
(Ann. Bob. Amanda)
(Ann, Bob. Jessica)
(Maria, John, Amanda)
(Maria, John, Jessica
(Marla, Bob, Amanda)
(Maria, Bob. Jessica)
Amanda
John
Jessica
Linda
Amanda
Bob
Jessica
Amanda
John
Jessica
Ann
Amanda
Bob
Jessica
Amanda
John
Jessica
Maria
Amanda
Bob
Jessica
(a) How many outcomes are there?
outcome(s)
(b) How many outcomes have Linda or Ann being chosen?
I outcome(s)
(c) How many outcomes have both Bob and Jessica being chosen?
I outcome(s)
Transcribed Image Text:A class is choosing a president, a vice president, and a treasurer. There are three students running for president: Linda, Ann, and Maria. There are two students running for vice president: John and Bob. There are two students running for treasurer: Amanda and Jessica. The tree diagram below shows the possible outcomes. Use the diagram to answer the questions. President Vice President Treasurer Outcome (Linda. John, Amanda) (Linda, John. Jessica (Linda, Bob, Amanda) (Linda, Bob. Jessica) (Ann, John. Amanda) (Ann. John. Jessica) (Ann. Bob. Amanda) (Ann, Bob. Jessica) (Maria, John, Amanda) (Maria, John, Jessica (Marla, Bob, Amanda) (Maria, Bob. Jessica) Amanda John Jessica Linda Amanda Bob Jessica Amanda John Jessica Ann Amanda Bob Jessica Amanda John Jessica Maria Amanda Bob Jessica (a) How many outcomes are there? outcome(s) (b) How many outcomes have Linda or Ann being chosen? I outcome(s) (c) How many outcomes have both Bob and Jessica being chosen? I outcome(s)
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