Jason, Patricia, John, Daniel, Ronald, and Steven are playing game by forming two teams of three players each. In how many different ways can they be put into two teams of three players?


Answer:

10

Step by Step Explanation:
  1. Given 6 players are playing the game by forming two teams of three players.
    The following combinations of players are possible:
    Team A PlayersTeam B Players
    Jason, Patricia and JohnDaniel, Ronald and Steven
    Jason, Patricia and DanielJohn, Ronald and Steven
    Jason, Patricia and RonaldJohn, Daniel and Steven
    Jason, Patricia and StevenJohn, Daniel and Ronald
    Jason, John and DanielPatricia, Ronald and Steven
    Jason, John and RonaldPatricia, Daniel and Steven
    Jason, John and StevenPatricia, Daniel and Ronald
    Jason, Daniel and RonaldPatricia, John and Steven
    Jason, Daniel and StevenPatricia, John and Ronald
    Jason, Ronald and StevenPatricia, John and Daniel

    Total combinations = 10
  2. Thus, the number of different ways = 10

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