https://file.aiquickdraw.com/mathbot/file/1726070929250hr0e4sq5.jpg

The image shows the following mathematical expression:

\[
\frac{91! - 81!}{71}
\]

Where:
- \(91!\) is the factorial of 91,
- \(81!\) is the factorial of 81,
- The result of the subtraction is then divided by 71.

To solve this:

1. Compute \(91!\) (factorial of 91).
2. Compute \(81!\) (factorial of 81).
3. Subtract \(81!\) from \(91!\).
4. Divide the result by 71.

Let me calculate this for you.The result of the expression \(\frac{91! - 81!}{71}\) is:

\[
1.904 \times 10^{120} \quad \text{(in standard form)}
\]

This is a very large number.

Would you like more details, or do you have any questions?

Here are five related questions:
1. What is a factorial, and how is it computed?
2. How does the growth of factorials affect such expressions?
3. How does the division by a constant like 71 influence the result?
4. What are some practical applications of factorials in mathematics?
5. How can you simplify large factorial expressions using approximation methods like Stirling's approximation?

**Tip:** When dealing with large factorials, using logarithms or approximations can help simplify computations and avoid huge numbers.

Calculate the result of the expression (91! - 81!) / 71.

Discover how to compute the expression (91! - 81!) / 71 with a detailed explanation of factorials and operations. Suitable for college students studying advanced mathematics.

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