217k views
4 votes
The Binomial Coefficient Calculator is used to calculate the binomial coefficient C(n, k) of two given natural numbers n and k (Step by Step).

1 Answer

3 votes

Answer: Sure, I can help you with that! Here's a step-by-step guide on how to calculate the binomial coefficient C(n, k) using the formula:

C(n, k) = n! / (k! * (n - k)!)

where "!" denotes the factorial function.

Step 1: Input the values of n and k.

Let's say you want to calculate C(5, 2), which is the binomial coefficient of choosing 2 items from a set of 5 items. In this case, n = 5 and k = 2.

Step 2: Calculate k! and (n - k)!

In our example, k = 2, so k! = 2! = 2 * 1 = 2, and (n - k) = (5 - 2) = 3, so (n - k)! = 3! = 3 * 2 * 1 = 6.

Step 3: Calculate n!

n! = 5 * 4 * 3 * 2 * 1 = 120

Step 4: Calculate C(n, k)

C(n, k) = n! / (k! * (n - k)!) = 120 / (2 * 6) = 120 / 12 = 10

Therefore, C(5, 2) = 10, which means there are 10 ways to choose 2 items from a set of 5 items.

Explanation:

User Taswyn
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories