$2\mathrm{.}3(5)$ Suppose ABC is a frequent itemset and BCDE is NOT a frequent itemset. Given this information, we can be sure that certain other itemsets are frequent and sure that certain itemsets are NOT frequent. Others may be either frequent or not. Circle all and only the correct statements.

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$($i$)$ ACD is certainly not frequent $($ii$)$ ABCD can be either frequent or not frequent

$($iii$)$ BCE is certainly not frequent$($iv$)$ BC is certainly frequent

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