A volleyball team has ten players. To play a game, 6 players are needed to play positions numbered from I to 6. How many different combinations of 6 players can the coach choose from to play a game?  How many different line ups of 6 players (where order matters) can the coach choose from to play a game? If Julie and Abby are the team's best players and are always played in positions 2 and 5, how many difTerent line ups are possible? The four best players are always played in the same positions. This leaves two positions for the remaining team members. If every remaining team member has an equal chance of being selected and can play in either of the two positions, what is the probability they will be chosen to play?

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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A volleyball team has ten players. To play a game, 6 players are needed to play positions numbered from I to 6.

  • How many different combinations of 6 players can the coach choose from to play a game? 
  • How many different line ups of 6 players (where order matters) can the coach choose from to play a game?
  • If Julie and Abby are the team's best players and are always played in positions 2 and 5, how many difTerent line ups are possible?
  • The four best players are always played in the same positions. This leaves two positions for the remaining team members. If every remaining team member has an equal chance of being selected and can play in either of the two positions, what is the probability they will be chosen to play?
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