Connections Examples

¥**Exploration**

¥The Annual Mathematics
Contest presented a puzzle. The rules

¥and overlapping
memberships caused some complications.

¥Here are the
facts.

¥Each team in the contest was represented by four
students.

¥Each student was simultaneously the representative of

¥ two different teams.

¥Every possible pair of teams had exactly one member

¥ in common.

¥How many teams were present at the contest?

¥How many students were there altogether?