
What is the value of ?
Answer
469.2k+ views
Hint: In the question we have been asked to find the combination of 4 and 2. For solving the problems of combinations we use the formula that is given as . This formula is used to calculate combination between 2 numbers.
Complete step-by-step answer:
We have the question with us that wants us to calculate the value of .
To find the value of the required expression we should use the formula . We should substitute 4 in the place of n and substitute 2 in the place of r.
Now we have obtained the expression (1). In this expression find the value of the factorial of the numbers 4 and 2 or it could be written as and . We know how to find the factorial of a number, it is the product of all the numbers between 1 and the given number both inclusive.
Now, we have to put the values of the factorial of 4 and 2 in the expression (1). Doing so, we get:
Now we have obtained the expression (2). In this expression we have to divide 24 by 4. If we divide 24 by 4 then we get 6.
Hence we have obtained the value of the combination that is 6 or .
Note: We should never get confused with finding the permutation and finding the combination. These are two different things but have similar formulas. These both are used in calculating probability. We also use combinations in binomial theorem.
Complete step-by-step answer:
We have the question with us that wants us to calculate the value of
To find the value of the required expression we should use the formula
Now we have obtained the expression (1). In this expression find the value of the factorial of the numbers 4 and 2 or it could be written as
Now, we have to put the values of the factorial of 4 and 2 in the expression (1). Doing so, we get:
Now we have obtained the expression (2). In this expression we have to divide 24 by 4. If we divide 24 by 4 then we get 6.
Hence we have obtained the value of the combination that is 6 or
Note: We should never get confused with finding the permutation and finding the combination. These are two different things but have similar formulas. These both are used in calculating probability. We also use combinations in binomial theorem.
Latest Vedantu courses for you
Grade 8 | CBSE | SCHOOL | English
Vedantu 8 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹45,300 per year
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
Which one of the following is a true fish A Jellyfish class 12 biology CBSE

Which are the Top 10 Largest Countries of the World?

Why is insulin not administered orally to a diabetic class 12 biology CBSE

a Tabulate the differences in the characteristics of class 12 chemistry CBSE

Why is the cell called the structural and functional class 12 biology CBSE

The total number of isomers considering both the structural class 12 chemistry CBSE
