Answer:
19600 trios may be formed.
Step-by-step explanation:
Since the order of the trios do not matter, we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Groups of three(Trios) from a set of 50. So
[tex]C_{50,3} = \frac{50!}{3!(50-3)!} = 19600[/tex]
19600 trios may be formed.
