DMS 113 Online Task(Finals)

What is a set in the context of discrete mathematics?

• A collection of ordered pairs

• A collection of elements with no repetition

• A mathematical equation

• A graph structure

What is the cardinality of a set?

• The largest element in the set

• The sum of all elements in the set

• The number of elements in the set

• The average of all elements in the set

What does it mean for one set to be a proper subset of another set?

• They have the same elements

• Every element of the first set is in the second set

• They have no elements in common

• Every element of the first set is in the second set, and the second set has at least one element not in the first set

What is the empty set?

• A set with one element

• A set with all even numbers

• A set with no elements

• A set with all prime numbers

What is the result of the intersection of two disjoint sets?

• An empty set

• The set with all elements from both sets

• The set with only the elements common to both sets

• A set with exactly one element

Which symbol represents the universal of sets?

• ∩

• ∅

• ∪

• ∈

If |A| = 5 and |B| = 3, what is the maximum possible cardinality of the union of A and B?

• 3

• 5

• 8

• 15

What is the number of elements in the power set of a set with n elements?

• 2^n

• n

• n!

• n^n

Which statement is true regarding the empty set?

• It is a subset of every set.

• It is a proper subset of every set.

• It is equivalent to the universal set.

• It is an improper subset of every set.

A well-defined collection of distinct objects having a common property.

• Group

• Set

• Team

• Category