Question

If the Math Olympiad Club consists of 19 students, how many different teams of 3students can be formed for competitions?

Answer 1

since they are students order is not going to matter and it will be a combination.

`nCr=(n!)/(r!(n-r)!)`

n= total of students

n=19

r= students per group

r=3

`\begin{gathered} 19C3=(19!)/(3!16!) \\ 19C3=969 \end{gathered}`

there can be formed 969 groups