How to Use the Binomial Coefficient Calculator?
- First, input the first (n) and second (k) integer numbers.
- Make sure that the first integer (n) value should be greater or equal to the second integer (k).
- After inputting the numbers, press the 'Calculate' button.
- As a result, the tool returns the binomial coefficient of given numbers.
How to Calculate?
The binomial coefficient is calculated using the following formula:
Where,
n = First positive integer,
k = Second positive integer.
Let's take an example.
Example:
Suppose, you have a total of 9 books and you need to choose 5 of them. Calculate the binomial coefficient for this case.
Solution:
Here,
n = 9,
k = 5.
Let's put the above values in the formula.
| C(n, k) = |
| 9 × 8 × 7 × 6 × 5 × 4! | | | 5! × 4! |
|
| C(n, k) = |
| 9 × 8 × 7 × 6 × 5 | | | 5 × 4 × 3 × 2 × 1 |
|
C(n, k) = 126