Question

What is the factorial of 10 ?

Answer 1

Hint: The factorial of 10 can also be written as 10!. To find a factorial of a number, you need to find the product of all the numbers up to that number. Suppose if you need to find the factorial of the number 5 you need to multiply all the numbers up to 5 that is 1, 2, 3, 4, 5. Therefore, to get the factorial of 10, you need to multiply all the numbers up to 10 that is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Complete step by step solution:
Here is the step wise solution.
First we need to know what a factorial is. To find a factorial of a number, we need to find the product of all the numbers up to that number. Suppose, if we need to find the factorial of 4, we need to multiply all the numbers up to 4. The numbers up to 4 are 1, 2, 3, and 4. Therefore, multiplying the, we get 24. Therefore, the factorial of 4 is 24.
In the question, we are asked to find the factorial of 10. Therefore, we multiply all the numbers up to 10, that is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Therefore, we get the factorial of 10 as 3628800.

Note: You need to remember what a factorial is. It is very important in the topic of permutations and combinations. To find a factorial you could also use the stirling's approximation. Also it would be easy, if you remember the factorials for numbers till 10.