Answer:
Distinct ways in which they all can form the teams for the class = n(n-1)
Step-by-step explanation:
Total numbers of students = n (even number)
Number of student in each team = 2
Number of distinct ways are there to form the teams for the class:
[tex]P^{n}_{k}=\frac{n!}{(n-k)!}[/tex]
where = n = number of elements = n
k = number of elements choose = 2
[tex]P^{n}_{2}=\frac{n!}{(n-2)!}=\frac{n\times (n-1)\times (n-2)!}{(n-2)!}[/tex]
[tex]=n\times (n-1)[/tex]
