Question
Evaluate the factorial expression. \( \frac{107!}{105!} \) \( \frac{107!}{105!}=\square \)
Ask by Wyatt Bush. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\[
\frac{107!}{105!} = 11342
\]
Solution

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The Deep Dive
To evaluate the expression, we can simplify it using the definition of factorials. The factorial \( n! \) is the product of all positive integers up to \( n \). Thus, we have: \[ \frac{107!}{105!} = \frac{107 \times 106 \times 105!}{105!} = 107 \times 106 \] Now, performing the multiplication: \[ 107 \times 106 = 11342 \] So, \( \frac{107!}{105!} = 11342 \).