We need to assign 4 students (Daniel, Jeremy, Xiaoying, Ashu) to 3 different teams (Team 1, Team 2, and Team 3). Each team needs to have at least 1 student. To maximize productivity, it has been determined that Ashu and Jeremy cannot be on the same team. How many different ways are there to assign the teams?

There are five different ways to assign teams.

Step-by-step explanation:

To make the correct assignment we must bear in mind that there are two variables or students that will always be static, which are Aishu and Jeremi, so the other two students could be assigned with each of them finally 5 teams can be successfully formed.

First team:       (Aishu-Xiaoying), (Jeremy), (Daniel)

Second team:  (Aishu), (jeremy-xiaoying),(Daniel)

Third Team:     (Aishu), (Jeremy), (Daniel-Xiaoying)

Fourth Team:   (Aishu-Daniel), (Jeremy), (Xiaoying)

Fifth Team:      (Aishu), (Jeremy-Daniel), (Xiaoying)