Question

I know the answer, but cannot figure out how to get there.

The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 23 people who have written in to the show. If the participants are selected randomly, what is the probability that the 5 youngest people will be selected?

Answer 1

several ways to proceed but the easiest way is to say it is
\[\frac{\dbinom{5}{5}}{\dbinom{23}{5}}\]