The formula for **nCr**, also known as the **binomial coefficient**, is used to determine the number of ways to choose **r** elements from a set of **n** elements without regard to the order. It is given by the formula:

\[
nCr = \binom{n}{r} = \frac{n!}{r!(n - r)!}
\]

Where:
- **n!** (n factorial) is the product of all positive integers up to **n**.
- **r!** (r factorial) is the product of all positive integers up to **r**.
- **(n - r)!** is the factorial of **(n - r)**.

For example, if you want to calculate **5C2** (choosing 2 items from 5), the calculation would be:

\[
\binom{5}{2} = \frac{5!

Discover the formula for nCr, also known as the binomial coefficient, used to calculate the number of combinations of r elements from a set of n elements. This explanation covers combinatorics, factorials, and the binomial theorem, suitable for students in Grades 10-12.

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