Disjoint Family of Sets/Examples
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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.