Answer:[tex]^{60}C_{3}[/tex] ways.
Step-by-step explanation:
[tex]^{n}C_{k}[/tex] is the number of ways in which [tex]k[/tex] distinct objects are selected from a pile of [tex]n[/tex] distinct objects.
In our question,there are a total of [tex]60[/tex] people.
So,[tex]n=60[/tex].
Given that three are selected at random.
So,[tex]k=3[/tex].
So,the answer is [tex]^{60}C_{3}[/tex] ways.