Algebra and Trigonometry (6th Edition)
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.
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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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