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a basketball coach was criticized in a newspaper for not trying out every combination of players....

a basketball coach was criticized in a newspaper for not trying out every combination of players. if the team roster has 14 players and every player can play every position how many 5-player combinations are possible?

Solutions

Expert Solution

Given that a team roster has 14 players and team should consist of 5 players.
As the player can play in any position, combinations of the positions are also considered.
Selecting a team of 5 from 14 players is done in 14c5 ways and arranging the 5 players between themselves can be done in an additional 5! ways.
Total ways or combinations = 14c5 * 5! = 240240 ways.

If the positions are not considered then the total combinations would be = 14c5 = 2002 ways
                                                                                          

milcah answered 2 years ago
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