What is the value of 5! (5 factorial)?
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4 Answers
To calculate the value of 5 factorial (5!), we multiply all positive integers from 1 to 5. This can be expressed as 5! = 5 x 4 x 3 x 2 x 1, which equals 120. In general, the factorial of a number n (n!) is obtained by multiplying all positive integers from 1 to n.
The concept of factorial is used in mathematics to represent the product of all positive integers up to a given number. The symbol "!" denotes the factorial operation. For example, 5! represents the factorial of 5.
To calculate the factorial of a number, we start with the given number and multiply it by each positive integer that is smaller than it, down to 1. In the case of 5!, we multiply 5 by 4, then multiply the result by 3, then multiply that by 2, and finally multiply by 1. This process results in the value of 120.
In general, the factorial of any positive integer n (n!) is calculated by multiplying all positive integers from 1 to n together. This can be represented as:
n! = n x (n-1) x (n-2) x ... x 3 x 2 x 1
For example, if we want to calculate 7!, we would multiply 7 by 6, then multiply that result by 5, then by 4, then by 3, then by 2, and finally by 1. This process would yield the value of 7! as 5040.
Factorials are commonly used in various branches of mathematics, including combinatorics, probability theory, and calculus. They help solve problems related to permutations, combinations, and the binomial theorem, among others.
The concept of factorial is used in mathematics to represent the product of all positive integers up to a given number. The symbol "!" denotes the factorial operation. For example, 5! represents the factorial of 5.
To calculate the factorial of a number, we start with the given number and multiply it by each positive integer that is smaller than it, down to 1. In the case of 5!, we multiply 5 by 4, then multiply the result by 3, then multiply that by 2, and finally multiply by 1. This process results in the value of 120.
In general, the factorial of any positive integer n (n!) is calculated by multiplying all positive integers from 1 to n together. This can be represented as:
n! = n x (n-1) x (n-2) x ... x 3 x 2 x 1
For example, if we want to calculate 7!, we would multiply 7 by 6, then multiply that result by 5, then by 4, then by 3, then by 2, and finally by 1. This process would yield the value of 7! as 5040.
Factorials are commonly used in various branches of mathematics, including combinatorics, probability theory, and calculus. They help solve problems related to permutations, combinations, and the binomial theorem, among others.