Question

Let = { 1,2,3,4 }

a) Write a relation on A which is symmetric only

b) Write the smallest transitive relation on A containing (3,4)

c) How many equivalence relations can you define on A containing

exactly five elements​

Answer 1

Step-by-step explanation:

Just one way. This is the identity equivalence relationship. Thus, there are, in total 1+4+3+6+1=15 partitions on {1,2,3,4}, and thus 15 equivalence relations.

Answer 2

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