Data Science and Machine Learning (Theory and Projects) A to Z - Sets: Definition of Set Solution 02

The video tutorial explains the concepts of sets, multisets, and tuples. A set is defined by two properties: distinctness and unorderedness, meaning all elements are unique and have no specific order. A multiset allows duplicates but remains unordered. A tuple, on the other hand, allows duplicates and has a specific order, lacking both distinctness and unorderedness. These definitions help in understanding different types of collections in mathematics.

What are the two main properties that define a set?

• Duplicates allowed and unordered

• Distinctness and unordered

• Distinctness and ordered

• Duplicates allowed and ordered

Which of the following is true about a multiset?

• It does not allow duplicates and is ordered

• It allows duplicates and is unordered

• It does not allow duplicates and is unordered

• It allows duplicates and is ordered

Which property is relaxed in a multiset compared to a set?

• Ordered

• Neither ordered nor distinctness

• Distinctness

• Both ordered and distinctness

If a collection allows duplicates and has a specific order, what is it called?

• Tuple

• Set

• Array

• Multiset

What distinguishes a tuple from a multiset?

• Tuples do not allow duplicates

• Tuples have a specific order

• Tuples are unordered

• Tuples have distinct elements