Let's break it down:

- \( 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720 \)
- \( 7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 5040 \)

Now, we add the two:

\[
6! + 7! = 720 + 5040 = 5760
\]

So, \( 6! + 7! = 5760 \).

Would you like more details on factorials or have any questions?

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Here are five related questions for further exploration:

1. What is \( 5! + 6! \)?
2. How does factorial grow as the numbers increase?
3. What is the sum of \( 8! + 9! \)?
4. Can you express \( n! \) in terms of \( (n-1)! \)?
5. What is the factorial of zero, and why is \( 0! = 1 \)?

**Tip:** Factorials grow very quickly as \( n \) increases, which is why even small changes in \( n \) can lead to huge differences in the value.

Explore the step-by-step solution for calculating the sum of factorials: 6! + 7!. This problem involves understanding factorials and basic arithmetic operations, making it suitable for students in Grades 9-10.

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