Math Problem Statement
Simplify 8!
Solution
The factorial of 8, denoted as , is the product of all positive integers from 1 to 8:
So, .
Would you like further details on factorials or any other questions?
Here are 5 related questions to explore:
- What is the value of ?
- How can factorials be used in permutations and combinations?
- What is the factorial of zero, , and why?
- How would you simplify ?
- Can you express factorials in terms of recursive functions?
Tip: Factorials grow very quickly! Even relatively small numbers like 20 have huge factorials.
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Math Problem Analysis
Mathematical Concepts
Factorial
Number Theory
Formulas
n! = n × (n-1) × (n-2) × ... × 1
Theorems
Factorial Growth Theorem
Suitable Grade Level
Grades 8-10