Situation:
Teacher Teresa wanted to group her students into committees. she is grouping them according to the following axiom set:

axiom 1: each committee consists of exactly two members.

axiom 2: there are exactly six committees.

axiom 3: each member serves on exactly two committees.

QUESTIONS:

1. what are the undefined terms in the axiom set?

2. let a dot represent a member, and a line represent a committee, make at least on concrete model of the axiom set.

3. deduce the theorem that "there is a finite number of members. "​