Question

What does 3 factorial mean?

Answer 1

Hint: In the given question, we have been asked to find the factorial of a given number i.e. 3. Factorial is the product of all the numbers which are less than or equal to that given number, numbers should be only positive integers such that ‘n’ factorial means product of all the numbers starting from 1 to ‘n’. In order to solve 3 factorials, we need to multiply all the whole numbers starting from 1 to 3 and solve it further to get a value and in this way we will get the answer.

Complete step by step solution:
We have given that,
3 factorial
Rewritten in factorial form as,
\[\Rightarrow 3!\]
Now,
Multiplying all the whole numbers starting from 1 to 3 together.
Therefore,
\[\Rightarrow 3!=1\times 2\times 3\]
Simplifying the numbers, we get
\[\Rightarrow 3!=6\]
Thus,
3 factorials which can be written as 3! is equal to 6.
Hence, this is the required answer.
So, the correct answer is “6”.

Note: In order to solve these types of questions, students should need to remember the concept of factorial. Factorial is the one of the standard theories of the concept of permutation and combination. Many of the complex equations can be made by using factorial only. The exclamation mark is used to denote the factorial. For ex: 6 factorial is written as 6! Thus factorial 6 can be solved as; 6! = \[1\times 2\times 3\times 4\times 5\times 6\]=720. We should always remember that factorial zero is always equal to 1. We do not have a factorial of a negative integer as the factorial of a negative number is undefined.