A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D. The possible outcomes include S = {ABC, ABD, ACD, BCD}. Which statements about the situation are true? Select three options.

There are four ways to choose the committee.
There are three ways to form the committee if person D must be on it.
If seven members are eligible next year, then there will be fewer combinations.
If persons B and C must be on the committee, there are two ways to form the committee.
If persons A and C must be on the committee, then there is only one way to form the committee.