Practice Factorial in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The factorial of a non-negative integer n, written n!, is the product of all positive integers from 1 to n: n! = n \cdot (n-1) \cdots 2 \cdot 1.
Factorial counts the number of ways to arrange n distinct objects in a row — for 3 items, there are 3! = 6 possible orderings.
Example 1
easyCompute 7!.
Example 2
mediumSimplify \frac{10!}{8!}.
Example 3
easyEvaluate \frac{6!}{4! \cdot 2!}.
Example 4
mediumSolve for n: \frac{n!}{(n-2)!} = 30.