
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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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.](https://content.bartleby.com/qna-images/question/87bcca6f-5544-4f67-a9c3-2aeefa5beaf5/1fab7d7d-d4f5-4f90-b551-033e3fcb7c50/opvjde.jpeg)
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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