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0. Review of Algebra(0)

Algebraic Expressions
(0)

Exponents
(0)

Polynomials Intro
(0)

Multiplying Polynomials
(0)

Factoring Polynomials
(0)

Radical Expressions
(0)

Simplifying Radical Expressions
(0)

Rationalize Denominator
(0)

Rational Exponents
(0)

1. Equations & Inequalities(0)

Linear Equations
(0)

Rational Equations
(0)

The Imaginary Unit
(0)

Powers of i
(0)

Complex Numbers
(0)

Intro to Quadratic Equations
(0)

The Square Root Property
(0)

Completing the Square
(0)

The Quadratic Formula
(0)

Choosing a Method to Solve Quadratics
(0)

Linear Inequalities
(0)

2. Graphs of Equations(0)

Graphs and Coordinates
(0)

Two-Variable Equations
(0)

Lines
(0)

3. Functions(0)

Intro to Functions & Their Graphs
(0)

Common Functions
(0)

Transformations
(0)

Function Operations
(0)

Function Composition
(0)

4. Polynomial Functions(0)

Quadratic Functions
(0)

Understanding Polynomial Functions
(0)

Graphing Polynomial Functions
(0)

Dividing Polynomials
(0)

Zeros of Polynomial Functions
(0)

5. Rational Functions(0)

Introduction to Rational Functions
(0)

Asymptotes
(0)

Graphing Rational Functions
(0)

6. Exponential & Logarithmic Functions(0)

Introduction to Exponential Functions
(0)

Graphing Exponential Functions
(0)

The Number e
(0)

Introduction to Logarithms
(0)

Graphing Logarithmic Functions
(0)

Properties of Logarithms
(0)

Solving Exponential and Logarithmic Equations
(0)

7. Systems of Equations & Matrices(0)

Two Variable Systems of Linear Equations
(0)

Introduction to Matrices
(0)

Determinants and Cramer's Rule
(0)

Graphing Systems of Inequalities
(0)

8. Conic Sections(0)

Introduction to Conic Sections
(0)

Circles
(0)

Ellipses: Standard Form
(0)

Parabolas
(0)

Hyperbolas at the Origin
(0)

Hyperbolas NOT at the Origin
(0)

9. Sequences, Series, & Induction(0)

Sequences
(0)

Arithmetic Sequences
(0)

Geometric Sequences
(0)

10. Combinatorics & Probability(0)

Factorials
(0)

Combinatorics
(0)

Probability
(0)

10. Combinatorics & Probability

Factorials

10. Combinatorics & Probability

Factorials: Videos & Practice Problems

Video Lessons Practice Worksheet

28 problems

Problem types you want to practice:

Problem 1Multiple Choice

For the general term of the sequence given, write its first four terms: $a_{n}=$\frac{\left(2n+1\right)!}{3n^2}$$

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Problem 2Multiple Choice

For the general term of the sequence given, write its first four terms: $a_n= -13(n +2)!$

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Problem 3Multiple Choice

Consider the given factorial expression and evaluate it. $\frac{22!}{18!}$

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Problem 4Multiple Choice

Consider the given factorial expression and evaluate it. $\frac{31!}{3!28!}$

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Problem 5Multiple Choice

Consider the given factorial expression and evaluate it. $\frac{(7n +1)!}{(7n)!}$

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Problem 6Multiple Choice

Determine the exact 8! and write the approximation value using Stirling’s formula.

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Problem 7Multiple Choice

What does the notation '5!' represent in mathematics?

Problem 8Multiple Choice

What is the value of 4!?

Problem 9Multiple Choice

Which of the following demonstrates the relationship between 5! and 4!?

Problem 10Multiple Choice

Simplify the expression 7! / 5!

Problem 11Multiple Choice

What is the result of dividing 8! by 7!?

Problem 12Multiple Choice

What is the value of 0! (zero factorial) and why?

Problem 13Multiple Choice

In how many different ways can 3 books be arranged on a shelf?

Problem 14Multiple Choice

Recognizing the pattern, what is the value of 3! + 2!?

Problem 15Multiple Choice

A team of 5 people is to be selected from a group of 8. How many different selections can be made?

Problem 16Multiple Choice

If n! = n × (n-1)!, find the value of n if n! = 720.

Problem 17Multiple Choice

Evaluate the efficiency of using factorials in calculating permutations for 10 items taken 3 at a time.

Problem 18Multiple Choice

Simplify the expression 6! - 5!

Problem 19Multiple Choice

In a card game, if 5 cards are dealt from a deck of 52, how many different hands can be dealt?

Problem 20Multiple Choice

Given that 7! = 5040, determine the value of (7-1)! without recalculating from the definition.

Problem 21Short Answer

Evaluate $6 factorial negative 4 factorial$ .

Problem 22Short Answer

Evaluate $the fraction with numerator 7 factorial and denominator 5 factorial$ .

Problem 23Short Answer

Evaluate $\frac{8 \cdot 7!}{8!}$ .

Problem 24Short Answer

Evaluate $the fraction with numerator 12 factorial and denominator 10 factorial$ .

Problem 25Short Answer

Evaluate $0 factorial positive 3 factorial$ .

Problem 26Short Answer

Solve for the nonnegative integer $n$ if $n factorial equals 120$ .

Problem 27Short Answer

Evaluate $the fraction with numerator 6 factorial positive 5 factorial and denominator 4 factorial$ .

Problem 28Short Answer

Evaluate $the fraction with numerator 8 factorial and denominator 6 factorial$ .

Geometric Sequences Practice Problems Combinatorics Practice Problems

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Binomial Coefficient Calculator

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Series Calculator

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