The correct statements are:

1. "{A,B} is the superset of {A} and {B} , while it is a subset of {A,B,C}" - This statement is correct. A set {A,B} is indeed a superset of the individual sets {A} and {B}, because it contains all elements of these sets. It is also a subset of {A,B,C} because all its elements are contained within this set.

2. "if {A,C} is a frequent itemset, {A} and {C} must be frequent itemset as well" - This statement is correct. In the context of itemset mining, if a set of items is frequent, then all its subsets must also be frequent. So if {A,C} is frequent, then {A} and {C} must be frequent as well.

The incorrect statements are:

1. "{A,B,C} is a subset of {A}, {B} and {C}" - This statement is incorrect. A set {A,B,C} cannot be a subset of individual sets {A}, {B}, and {C} because it contains more elements than any of these sets.

2. "if {A,B,C} is not a frequent itemset, {A,B}, {A,C} cannot be frequent itemsets" - This statement is incorrect. In the context of itemset mining, even if a set is not frequent, its subsets can still be frequent. So even if {A,B,C} is not frequent, {A,B} and {A,C} can still be frequent.

Question

The correct statements are:

1. "{A,B} is the superset of {A} and {B} , while it is a subset of {A,B,C}" - This statement is correct. A set {A,B} is indeed a superset of the individual sets {A} and {B}, because it contains all elements of these sets. It is also a subset of {A,B,C} because all its elements are contained within this set.

2. "if {A,C} is a frequent itemset, {A} and {C} must be frequent itemset as well" - This statement is correct. In the context of itemset mining, if a set of items is frequent, then all its subsets must also be frequent. So if {A,C} is frequent, then {A} and {C} must be frequent as well.

The incorrect statements are:

1. "{A,B,C} is a subset of {A}, {B} and {C}" - This statement is incorrect. A set {A,B,C} cannot be a subset of individual sets {A}, {B}, and {C} because it contains more elements than any of these sets.

2. "if {A,B,C} is not a frequent itemset, {A,B}, {A,C} cannot be frequent itemsets" - This statement is incorrect. In the context of itemset mining, even if a set is not frequent, its subsets can still be frequent. So even if {A,B,C} is not frequent, {A,B} and {A,C} can still be frequent.

Knowee AI · Accepted Answer

The correct statements are:

1. "{A,B} is the superset of {A} and {B} , while it is a subset of {A,B,C}" - This statement is correct. A set {A,B} is indeed a superset of the individual sets {A} and {B}, because it contains all elements of these sets. It is also a subset of {A,B,C} because all its elements are contained within this set.

2. "if {A,C} is a frequent itemset, {A} and {C} must be frequent itemset as well" - This statement is correct. In the context of itemset mining, if a set of items is frequent, then all its subsets must also be frequent. So if {A,C} is frequent, then {A} and {C} must be frequent as well.

The incorrect statements are:

1. "{A,B,C} is a subset of {A}, {B} and {C}" - This statement is incorrect. A set {A,B,C} cannot be a subset of individual sets {A}, {B}, and {C} because it contains more elements than any of these sets.

2. "if {A,B,C} is not a frequent itemset, {A,B}, {A,C} cannot be frequent itemsets" - This statement is incorrect. In the context of itemset mining, even if a set is not frequent, its subsets can still be frequent. So even if {A,B,C} is not frequent, {A,B} and {A,C} can still be frequent.

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