Data Science and Machine Learning (Theory and Projects) A to Z - Sets: Subsets PowerSet UniversalSet

The video tutorial introduces the concept of sets and subsets, explaining how a subset is a set whose elements are all contained within another set. It discusses the properties of subsets, including the fact that the empty set is a subset of every set and that a set is a subset of itself. The tutorial then explains powersets, which are sets of all possible subsets of a given set. It also covers universal sets, which contain all objects under discussion. The video concludes with a preview of upcoming topics on set operations like union, intersection, and difference.

What is a subset?

• A set containing no elements

• A set containing some or all elements of the parent set

• A set containing all elements of the parent set

• A set containing elements not in the parent set

Which of the following is true about the empty set?

• It is not a subset of any set

• It is a subset of some sets

• It is a subset of every set

• It is a subset of itself only

What does it mean for a set to be a subset of itself?

• It contains some elements of the set

• It contains elements not in the set

• It contains all elements of the set

• It contains no elements

What is a power set?

• A set containing only one element

• A set containing all elements of another set

• A set containing all subsets of a given set

• A set containing no elements

How many subsets does a set with three elements have?

• 8

• 6

• 9

• 3

What is a universal set?

• A set containing elements not in any other set

• A set containing some elements of interest

• A set containing no elements

• A set containing all possible elements

Which statement is true about a universal set?

• It is a subset of every set

• It contains no elements

• Every set is a subset of it

• It contains only one element