Binary relation

Okay so let's say you have some toys, like blocks and cars. You also have a way of matching the blocks and the cars that you like, for example you might say that the blue block matches the yellow car, because they share a color. This matching is called a relation.

Now, imagine you have a lot more toys, different colors and shapes. You can match the toys in different ways like, you can match the red block with the blue block because they are both blocks, or you can match the green car with the red block because they have the same shape. These matches are also relations.

Binary relation is a special kind of relation where you only match two things at a time. For instance, you can match the blue block with the red car, but you would not match the blue block with both the red and yellow cars at the same time.

Binary relations are useful in mathematics and computer science because they help us understand how things are connected to each other, like how numbers are related to each other or how data is organized in a computer.