Math Problem Statement
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1. Therefore, 4! =
Solution
To calculate , we follow the same method of multiplying the numbers from 4 down to 1.
Now, calculate step by step:
So, .
Would you like further details on how factorials work, or do you have other questions?
Here are 5 related questions to explore:
- How is the factorial of a number used in combinatorics?
- What is the difference between and ?
- How do factorials relate to permutations and combinations?
- What is the factorial of 0, and why is it defined that way?
- Can you simplify ?
Tip: Factorials grow very quickly. For large numbers, it's helpful to use a calculator or software to avoid manual calculation errors.
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Math Problem Analysis
Mathematical Concepts
Factorials
Multiplication
Formulas
n! = n × (n-1) × (n-2) × ... × 1
Theorems
-
Suitable Grade Level
Grades 5-7