
How do you evaluate ?
Answer
482.7k+ views
Hint: Here we have to evaluate .This means we have to evaluate the factorial of nine. We will apply the formula which is used to find the factorial of a given number. In general, the formula for finding the factorial of a number is . Here is the number whose factorial we want to find. By substituting the value in the given formula, we will get the factorial of that number.
Complete step by step answer:
Before solving the question let us get familiar with the binomial expansion. We know that binomial is a polynomial that has only two terms in it and binomial expansion is expanding the binomial expression using binomial theorem. Here we have to find the factorial so factorial is basically the product of all the positive integers less than or equal to a given positive integer. It is represented by an exclamation mark “ ”. The practical application of factorial is in permutations and combinations.
Now in this question, we have to find the factorial of nine. Thus, by substituting the value in the formula we will get the value of .
The formula is
Now we will substitute the value in the equation
Therefore, the value of is .
Note:
While we are finding the factorial, it is not mandatory to multiply with zero as therefore it will not affect the final value. The factorial formula is not applicable for negative integers. Keep in mind the formula used to find the factorial so that in the future you can easily solve questions of this type. Perform the calculations carefully.
Complete step by step answer:
Before solving the question let us get familiar with the binomial expansion. We know that binomial is a polynomial that has only two terms in it and binomial expansion is expanding the binomial expression using binomial theorem. Here we have to find the factorial so factorial is basically the product of all the positive integers less than or equal to a given positive integer. It is represented by an exclamation mark “
Now in this question, we have to find the factorial of nine. Thus, by substituting the value in the formula
The formula is
Now we will substitute the value in the equation
Therefore, the value of
Note:
While we are finding the factorial, it is not mandatory to multiply with zero as
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