I have this question related to the number of equivalence classes of equivalence relations. If $R_1$ and $R_2$ are two equivalence relations on a set $A$ with number of equivalence classes of $R_1 = n_1$ and number of equivalence classes of $R_2= n_2$. What is the number of equivalence classes formed by $R_1 \cap R_2\,$?
What is the number of equivalence classes formed by a merge
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