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 , written , is the product of all positive integers from 1 to : .
Factorial counts the number of ways to arrange distinct objects in a row — for 3 items, there are possible orderings.
Showing a random 20 of 50 problems.
Example 1
mediumCompute .
Example 2
mediumCompute using factorials.
Example 3
easyCompute .
Example 4
easyCompute .
Example 5
mediumHow many distinct -digit codes use digits each exactly once?
Example 6
easyWhat is ?
Example 7
easyWhy is defined as ?
Example 8
mediumIn how many ways can a President, Vice-President, and Secretary be chosen from club members (no double roles)?
Example 9
mediumCompute .
Example 10
easyCompute .
Example 11
easyIn how many ways can distinct friends sit in chairs in a row?
Example 12
hardSolve for in .
Example 13
mediumSimplify .
Example 14
easyCompute .
Example 15
mediumHow many trailing zeros does have?
Example 16
mediumSimplify .
Example 17
hardCompute the largest power of that divides .
Example 18
easyCompute .
Example 19
challengeFind the number of trailing zeros in .
Example 20
hardHow many distinct arrangements of the letters in 'MATHEMATICS' (11 letters) exist?