Disjoint Family of Sets/Examples

Examples of Disjoint Families of Sets

$3$ Arbitrary Sets

Let $I = \set {1, 2, 3}$ be an indexing set.

Let:

\(\ds S_1\)

\(=\)

\(\ds \set {a, b}\)

\(\ds S_2\)

\(=\)

\(\ds \set {b, c}\)

\(\ds S_3\)

\(=\)

\(\ds \set {a, c}\)

Then the family of sets $\family {S_i}_{i \mathop \in I}$ is disjoint, but not pairwise disjoint.