Practice Problems on Factorials
Problem 1: Evaluate.
- (8! × 7!) / 6!
- 7! / 4!
- 10! – 9!
Problem 2: Simplify.
- (7 + 3)! / 2!
- 6! / (4! × 2!)
- (9!) / [(7!) × (2!)]
- (6!) / [(5!) × (3!)]
- (12!) / [(11!) × (10!)]
Problem 3: Find the Value of n if
- n! = 120
- (n – 1)! = 24
- (n + 2)! = 720
- (n – 2)! = 120
Problem 4: Find the factorial of 9 and subtract the factorial of 6.
Factorial
Factorial is a fundamental concept in combinatorics as factorials play important roles in various mathematical formulas such as permutations, combinations, probability, and many other formulas. Factorial of any natural number “n” is defined as the product of all natural numbers till n.
In this article, we’ll delve into the intricacies of factorials, exploring factorial notation, the diverse range of factorial formulas, and techniques for computing factorials. Additionally, we’ll touch upon the properties and practical applications of factorials, provide illustrative examples, and address common questions pertaining to this topic. Let’s embark on our journey of understanding factorials.
Table of Content
- What is Factorial?
- Factorial Formula
- How to Find Factorial of a Number?
- Factorial Examples
- Properties of Factorial
- Factorials 1 to 20
- Applications of Factorials
- Solved Examples on Factorial