Example question

Given the following transaction data sets $($dark cells indicate presence of an item in a transaction$)$ and a support threshold of $20\%,$ answer the following questions

a$.$ What is the number of frequent itemsets for each dataset? Which dataset will produce the most number of frequent itemsets?

b$.$ Which dataset will produce the longest frequent itemset?

c$.$ Which dataset will produce frequent itemsets with highest maximum support?

d$.$ Which dataset will produce frequent itemsets containing items with widely varying support levels $($i$.$e$.,$ itemsets containing items with mixed support, ranging from $20\%$ to more than $70\%$

e$.$ What is the number of maximal frequent itemsets for each dataset? Which dataset will produce the most number of maximal frequent itemsets?

f$.$ What is the number of closed frequent itemsets for each dataset? Which dataset will produce the most number of closed frequent itemsets?$$