step 1 Okay, so we have that 0 factorial is by definition equal to 1.

Question

Expand 7:_________-$$\begin{aligned}&0 !=\\&1\end{aligned}$$

Name: Problem 6, Chapter 8: College Algebra
Uploaded: 2020-07-06T21:27:28-08:00
Duration: 6 s
Channel: Amy Jiang
Description: Expand 7:- 0 != 1

   Expand 7:_________-$$\begin{aligned}&0 !=\\&1\end{aligned}$$

College Algebra

R. David Gustafson,… 11th Edition

Chapter 8, Problem 6

Instant Answer

Solved by Expert Amy Jiang

07/06/2020

Step 1

The factorial of a number is the product of all positive integers less than or equal to that number. Show more…

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Expand 7:_________-$$\begin{aligned}&0 !=\\&1\end{aligned}$$

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Key Concepts

Factorial Function

The factorial function is a mathematical operation that multiplies a positive integer by every positive integer less than it. It is denoted by the exclamation point (n!) and is foundational in combinatorics, probability, and algebra. For example, 7! represents the product 7 × 6 × 5 × 4 × 3 × 2 × 1.

Base Case for Factorials (0! = 1)

The definition of the factorial function includes a crucial base case: 0! is defined to be 1. This convention is important for the consistency of formulas across mathematics, particularly in combinatorial expressions and series expansions, where it simplifies definitions and recursive relationships.

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