**Evaluate:** \[ \frac{13!}{11!} \] **The solution is:** \(\_\) **Instructions:** Calculate the value of the expression by using the properties of factorials. A factorial, denoted by \( n! \), is the product of all positive integers less than or equal to \( n \). Simplify the expression: \[ \frac{13!}{11!} = \frac{13 \times 12 \times 11!}{11!} \] Cancel out the \( 11! \) in the numerator and the denominator: \[ = 13 \times 12 \] Therefore, the solution to the expression is: \[ 13 \times 12 = 156 \] Please enter this calculated value in the answer box provided.
**Evaluate:** \[ \frac{13!}{11!} \] **The solution is:** \(\_\) **Instructions:** Calculate the value of the expression by using the properties of factorials. A factorial, denoted by \( n! \), is the product of all positive integers less than or equal to \( n \). Simplify the expression: \[ \frac{13!}{11!} = \frac{13 \times 12 \times 11!}{11!} \] Cancel out the \( 11! \) in the numerator and the denominator: \[ = 13 \times 12 \] Therefore, the solution to the expression is: \[ 13 \times 12 = 156 \] Please enter this calculated value in the answer box provided.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![**Evaluate:**
\[
\frac{13!}{11!}
\]
**The solution is:** \(\_\)
**Instructions:**
Calculate the value of the expression by using the properties of factorials. A factorial, denoted by \( n! \), is the product of all positive integers less than or equal to \( n \).
Simplify the expression:
\[
\frac{13!}{11!} = \frac{13 \times 12 \times 11!}{11!}
\]
Cancel out the \( 11! \) in the numerator and the denominator:
\[
= 13 \times 12
\]
Therefore, the solution to the expression is:
\[
13 \times 12 = 156
\]
Please enter this calculated value in the answer box provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87bcca6f-5544-4f67-a9c3-2aeefa5beaf5%2F1fab7d7d-d4f5-4f90-b551-033e3fcb7c50%2Fopvjde.jpeg&w=3840&q=75)
Transcribed Image Text:**Evaluate:**
\[
\frac{13!}{11!}
\]
**The solution is:** \(\_\)
**Instructions:**
Calculate the value of the expression by using the properties of factorials. A factorial, denoted by \( n! \), is the product of all positive integers less than or equal to \( n \).
Simplify the expression:
\[
\frac{13!}{11!} = \frac{13 \times 12 \times 11!}{11!}
\]
Cancel out the \( 11! \) in the numerator and the denominator:
\[
= 13 \times 12
\]
Therefore, the solution to the expression is:
\[
13 \times 12 = 156
\]
Please enter this calculated value in the answer box provided.
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