Stirling's Formula (Named After Scottish Mathematician, James Stirling: 1692-1770) Is $n ! \approx \sqrt { 2 \pi n } \left( \frac { n } { e } \right) ^ { n }$

question 265

Multiple Choice

Stirling's formula (named after Scottish mathematician, James Stirling: 1692-1770) is used to
approximate large values of n!. Stirling's formula is $n ! \approx \sqrt { 2 \pi n } \left( \frac { n } { e } \right) ^ { n }$ a. Use Stirling's formula to approximate the given expression. Round to the nearest whole unit.
b. Compute the actual value of the expression.
- $8 !$

• A) a. 39,902
• b. 40,312
• B) a. 40,111
• b. 40,320
• C) a. 40,111
• b. 40,312
• D) a. 39,902
• b. 40,320

---

Definitions:

Capacity Analysis

Capacity analysis involves evaluating the production capabilities and limitations of a manufacturing facility to meet demand.

Tech Support Department

A function within a company tasked with providing assistance and technical support to users or customers, typically regarding software, hardware, or other electronic or mechanical products.

Time-Driven Activity-Based Costing

A refinement of activity-based costing that assigns costs based on the actual amount of time resources are used on an activity.

Customer Cost Analysis

The process of analyzing all costs related to acquiring, servicing, and retaining a customer, to determine their profitability.