
How do you find the binomial coefficient of ?
Answer
465.3k+ views
Hint: In the above question we have to find the binomial coefficient of . To find the binomial coefficient for , we will use the nth row of the pascal’s triangle. Here we can also use the formula of permutations and combinations to get the coefficient.
Complete step by step answer:
The question is from the concept of binomial theorem. Before solving the question let us get familiar with the binomial expansion. We know that binomial is a polynomial which has only two terms in it and binomial expansion is expanding the binomial expression using binomial theorem.
Here in order to find the coefficient of we will use the formula
.
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 “ ”. Practical application of factorial is in permutations and combinations.
So, the coefficient is
Therefore, the binomial coefficient of is 792.
Note: While we are finding the factorial, it is not mandatory to multiply with zero as 0! =1 therefore it will not affect the final value. Keep in mind the formula used to find the factorial so that in future you can easily solve questions of this type. Perform the calculations carefully.
Complete step by step answer:
The question is from the concept of binomial theorem. Before solving the question let us get familiar with the binomial expansion. We know that binomial is a polynomial which has only two terms in it and binomial expansion is expanding the binomial expression using binomial theorem.
Here in order to find the coefficient of
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 “
So, the coefficient is
Therefore, the binomial coefficient of
Note: While we are finding the factorial, it is not mandatory to multiply with zero as 0! =1 therefore it will not affect the final value. Keep in mind the formula used to find the factorial so that in future you can easily solve questions of this type. Perform the calculations carefully.
Latest Vedantu courses for you
Grade 10 | CBSE | SCHOOL | English
Vedantu 10 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹37,300 per year
Recently Updated Pages
Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Trending doubts
How many moles and how many grams of NaCl are present class 11 chemistry CBSE

How do I get the molar mass of urea class 11 chemistry CBSE

Plants which grow in shade are called A Sciophytes class 11 biology CBSE

A renewable exhaustible natural resource is A Petroleum class 11 biology CBSE

In which of the following gametophytes is not independent class 11 biology CBSE

Find the molecular mass of Sulphuric Acid class 11 chemistry CBSE
