Data Analysis (Permutations/combinations)

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Psychguy98

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A coach is selecting a starting lineup for her basketball team. She must select from among nine players to get her starting lineup of five. How many possible starting lineups could she have?

So since there is no order i can use 9!/ 5! (9-5)! or n! r! (n-r)!
 
Per dictionary.com:

line·up?–noun
1. a particular order or disposition of persons or things as arranged or drawn up for action, inspection, etc.
2. the persons or things themselves.
3. (in police investigations) a group of persons, including suspects in a crime, lined up to allow inspection and possible identification by the victim or victims of that crime.
4. Sports . the list of the participating players in a game together with their positions: to announce the starting lineup of a game.

NOTE "starting lineup" in 4th definition. So the problem seems properly worded.
 

I believe a "starting lineup" is a list of the players in the opening play.
. . No order is implied.

A football team has a starting lineup of eleven players.
A basketball team has a starting lineup of five players.
A baseball team has a starting lineup of nine players.
. . (It can, however, provide a "batting order".)
 
soroban said:

I believe a "starting lineup" is a list of the players in the opening play.
. . No order is implied.

A football team has a starting lineup of eleven players. <<< FOOTball - team that is played with 11 players - has keeper, sweeper, left/right back, stopper, etc. - all controlled position & difficult to interchange
A basketball team has a starting lineup of five players. <<< Basketball team has center, guards (shooting/point) and forwards (power/small) - difficult to interchange...
A baseball team has a starting lineup of nine players.
. . (It can, however, provide a "batting order".)
Click to expand...
 

Hello, Subhotosh!

What you are providing are the rosters of the players.
. . These are included in the programs for the benefit of the sports fans.
I still maintain that no order is implied or intended.

You can have a "starting lineup" for a baseball team.
Their names might be Hoo, Watt, Aydunno, etc.
. . (This is not the same as a "batting order.")
The order or their names makes no difference
. . unless, of course, you ask "Who's on first?"

 
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