Suppose we have five sticks, each one a different integer length from 1 cm to 5 cm, and we want to make a triangle. There are lots of ways to do it, right?

Let's start by seeing how many triangles we can make with the 1-cm stick included.

Suppose we have five sticks, each one a different integer length from 1 cm to 5 cm, and we want to make a triangle. There are lots of ways to do it, right?

Let's start by seeing how many triangles we can make with the 1-cm stick included.

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