Answer:
Each partition of 6 corresponds to a conjugation class in S_6.
For instance, the partitions of 6 can be described as,
1. 6 : example cycle type (1, 2, 3, 4 ,5 ,6)
2. 5+1 : example cycle type (1, 2, 3, ,4 ,5)(6) = (1, 2, 3, 4 ,5)
3. 4+2 : example cycle type (1, 2, 3, 4)(5,6)
Since P(6)=11, there are 11 conjugation classes in S_6. Note that each cycle type in S_6 represents a conjugation class(partition) in S_6.
Step-by-step explanation:
