Question

Which of the following is a partition of Set S ={a,b,c}​

Answer 1

Answer:

Pi does not contain the empty set. [ Pi ≠ { ∅ } for all 0 < i ≤ n ]

The union of the subsets must equal the entire original set. [ P1 ∪ P2 ∪ ... ∪ Pn = S ]

The intersection of any two distinct sets is empty. [ Pa ∩ Pb = { ∅ }, for a ≠ b where n ≥ a, b ≥ 0 ]

Answer 2

Given:

S = {a,b,c}

To Find:

The partition in the given Set S ={a,b,c}​

Solution:

S = {a,b,c}

Finding the No, of subsets in the given complete set is Partition.

Partition is respresented as P ()

Possible partitions:

P(s) = { }, {a}, {b},{c}, {a,b}, {b,c},{c,a}, {a,b,c}

P(s) is the partitions of the given set s.