Combinations
 

Combinations problem 1


A basketball team consists of players: defenders, wingers and centres. One of the defenders is named Samuel and one of the centers is Jack. The remaining players have different names.


  • How many ways can all players line up if Samuel has to stand in line first and if the centers have to stand together (there are no other restrictions)?


  • How many ways can a coach put together a top five if it needs to have defenders, wingers and center?


  • In training, the coach will classify players randomly into three groups of players each: the first group will practice free throws, the second group a game in defense, the third group a game in attack.

    Calculate the probability of events:


    • Samuel and Jack will practice the game in defense,


    • Samuel will practice free throws, and Jack will play in attack



 

material editor: Loveth Nwechefom