Question

Ralph, Mario, Jack, Laura, and Maria are in the math club. The club advisor will assign students to 3-person teams at the next math team competition. How many different 3-person teams can be formed from these five students?

I got this wrong...here was my answer
5*4*3/(2*1) 60/2 30 teams combination

Answer 1

C(5,3) = (5*4*3)/(1*2*3) = 20

There are 5*4*3 ways to arrange the students, but if the order doesn't matter, all 3! orderings involve the same people.

Answer 2

Thank you!!!!

Answer 3

Uh... (5*4*3)/(1*2*3) = 10
...doesn't it? Google and my calculator say so xD