Combinations (nCk)

Combinations Calculator

This calculator determines the number of ways to pick k items from a set of n distinct items where order does not matter.

Use Cases

• Lottery: Calculating odds of winning.
• Poker: Determining hand possibilities.
• Team Selection: Picking a committee from a group of people.

Formula

$$C(n, k) = \frac{n!}{k!(n-k)!}$$

Where:

• $n$ is total items
• $k$ is items chosen
• $!$ denotes factorial