Question

Evaluate each expression. $$0 ! \cdot 7 !$$

   Evaluate each expression.
$$0 ! \cdot 7 !$$

College Algebra

College Algebra

R. David Gustafson,… 11th Edition

Chapter 8, Problem 12

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. For example, the factorial of 5 (denoted as 5!) is 5*4*3*2*1 = 120. Show more…

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Evaluate each expression. $$0 ! \cdot 7 !$$

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Key Concepts

Factorial Function

The factorial function, denoted by an exclamation mark (!), represents the product of all positive integers up to a given number. It is defined for non-negative integers and is widely used in combinatorics, probability, and series expansions to count the number of arrangements and to compute coefficients.

Special Case of 0!

The factorial of zero, written as 0!, is defined to be 1. This convention is important for maintaining the consistency of various mathematical formulas, especially in combinatorial contexts where it ensures that expressions like the number of ways to choose nothing from something are valid.

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