D421 Discrete Math: Functions and Relations - Set 5 - Part 3

Test your knowledge of technical writing concepts with these practice questions. Each question includes detailed explanations to help you understand the correct answers.

Question 41: How many distinct arrangements are there of the letters in the word BOOK?

Question 42: The number of ways to arrange n objects where some are identical is found by:

Multiplying n by the repeats

Dividing n! by the factorials of the repeat counts

Adding the repeats

Using n squared

Question 43: A statement of the form 'p if and only if q' is a:

Conjunction

Disjunction

Biconditional

Negation

Question 44: The relation 'less than or equal to' on the integers is an example of a:

Equivalence relation

Symmetric relation

Function

Total order

Question 45: What is |P(A)| if |A| = 4?

Question 46: The Cartesian product of the empty set with any set B is:

The empty set

A single pair

Undefined

Question 47: Which best describes the relationship between sets, relations, and functions?

They are completely separate

Sets are functions

Functions are relations, and relations are subsets of Cartesian products of sets

Relations are always functions

Question 48: Why are functions and relations central to discrete mathematics?

They are only theoretical

They apply only to continuous math

They replace logic

They model connections and mappings underlying computation and data

Question 49: What is the intersection of the sets {1,2,3,4} and {3,4,5,6}?

{3, 4}

{1, 2}

{5, 6}

{1, 2, 3, 4, 5, 6}

Question 50: What is the union of the sets {1,2} and {2,3}?

{2}

{1, 2, 3}

{1, 3}

{1, 2, 2, 3}

Congratulations! You have completed all 5 question sets. Good job!

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