if set A = {3,4,5} P(A) = {{},{3},{4},{5},{3,4},{3,5},{4,5},{3,4,5}} A partition of A with 3 elements is is A1 = {3,4,5} when A2 is an empty set am I on the right track? Thanks for any Input.
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Originally Posted by dunsta if set A = {3,4,5} P(A) = {{},{3},{4},{5},{3,4},{3,5},{4,5},{3,4,5}} A partition of A with 3 elements is is A1 = {3,4,5} when A2 is an empty set In partition, no cell can be empty. So no that is not a partition. However, $\displaystyle A_1=\{3,4,5\}$ is a trivial one cell partition.
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