What are combinations?

Combinations are about choosing some things from a group when the order doesn’t matter.

Imagine you have a bag of colorful marbles, red, blue, green, and yellow. You want to pick two marbles to take with you on a walk. If you grab a red and a blue, that’s one pair. But if you grab a blue and a red, it's the same pair, just in a different order. That’s what combinations are: choosing things where who goes first doesn’t matter.

Let’s say your bag has 4 marbles, and you want to pick any 2. You could have:

• Red and Blue
• Red and Green
• Red and Yellow
• Blue and Green
• Blue and Yellow
• Green and Yellow

That’s 6 different combinations, no matter how you mix them up, each pair is counted once.

If you cared about the order (like picking a first marble and then a second), that would be something else, but for combinations, it's all about the group you end up with.