Combinatorics › Sets and Venn diagrams › Counting relations and functions

Equivalence classes from given related pairs

High school · ●○○○○ 10 pts

Let A={a,b,c,d,e}A=\{a,b,c,d,e\}. Suppose RR is an equivalence relation on AA. Suppose also that aRdaRd, bRcbRc, eRaeRa and cRecRe. How many equivalence classes does RR have?

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equivalence relationsequivalence classessymmetry