Question

What does exclamation a point mean in math?
(a) Multiplication
(b) Factorial
(c) Factorization
(d) None of these

Answer 1

Hint: To get our answer, the exclamation point in mathematics provides us with a result of factorial. Now, in the given answer we will try to explain about the factorial term, And will try to choose from the given options.

Complete step by step solution:
According to the problem, we are trying to denote what the exclamation of a point denotes.
Easily speaking, the exclamation gives us the factorial of a given number.
Now, speaking of factorial, in mathematics, factorial is an important function, which is used to find how many ways things can be arranged or the ordered set of numbers. The well known interpolating function of the factorial function was discovered by Daniel Bernoulli. In short, a factorial is a function that multiplies a number by every number below it.
Again, factorial is a simple thing. Factorials are just products. An exclamation mark indicates the factorial. Factorial is a multiplication operation of natural numbers with all the natural numbers that are less than it.
Giving examples, if we have a number n and the factorial of n is said to be, n!, then, we get, $n!=n\times \left( n-1 \right)!=n\times \left( n-1 \right)\times \left( n-2 \right)!=.....=n\times \left( n-1 \right)\times \left( n-2 \right)\times .....\times 3\times 2\times 1$

So, the correct answer is “Option b”.

Note: Talking about factorials, we had seen, $n!=n\times \left( n-1 \right)\times \left( n-2 \right)\times .....\times 3\times 2\times 1$. But, we can also see, 0! = 1. This is a typical disruption of our given rule. Because, according to the convention of empty product, the result of multiplying no factors is a nullary product. It means that the convention is equal to the multiplicative identity.