Examples: |
Examples: |
* The set {1, 2, 3} has the following partitions { {1}, {2}, {3} }, { {1, 2}, {3} }, { {1, 3}, {2} }, { {1}, {2, 3} } and { {1, 2, 3} }. Note that { {}, {1,3}, {2} } is not a partition because it contains an empty subset and { {1,2}, {2, 3} } is also not a partition because the element 2 is contained in more than one subset. |
* The set {1, 2, 3} has the following partitions ** { {1}, {2}, {3} }, ** { {1, 2}, {3} }, ** { {1, 3}, {2} }, ** { {1}, {2, 3} } and ** { {1, 2, 3} }. : Note that { {}, {1,3}, {2} } is not a partition because it contains an empty subset and { {1,2}, {2, 3} } is also not a partition because the element 2 is contained in more than one subset. |
See also: |
See also: |