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In this paper a few case studies pertaining to breast cancer, mushroom, larynx cancer and other datasets are studied to find the utility of association rule mining using Weka tool. Three association algorithms - Apriori, PredictiveApriori and Tertius Algorithms are employed to discuss different case studies. A comparative study of the three algorithms is also made. Further architecture for implementing the association rules on datasets using Weka is also given. The analysis reveals that although the implementation of the three algorithms gives the strong association rules they have problems with the number of cycles taken to generate the frequent itemsets, minimum support needed, memory utilized and non-numeric data.