What is the chance of Nathan, Brad and Amy being on the same team? (b) What is the chance of Kelsey, Cindy and Amy being on the same team? (c) What is the chance that any three players (Nathan, Kelsey, Cindy, Brad, Amy or Maggie) will be on the same team?

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
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Nathan, Kelsey, Cindy, Brad, Amy and Maggie want to play a game. This game has three players per
team. They wish for the teams to be randomly assigned. List all possible samples (without
replacement) of size 3.
(a) What is the chance of Nathan, Brad and Amy being on the same team?
(b) What is the chance of Kelsey, Cindy and Amy being on the same team?

(c) What is the chance that any three players (Nathan, Kelsey, Cindy, Brad, Amy or Maggie) will be
on the same team?

Please help with all of them. 

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