# IQ Sort

**Computer Science**Level 5

The order is such that when a hypothetical person X is to the **left** of a hypothetical person Y, and X is **not more than 8 IQ points higher than Y**.

For Example, Say that in the math class, there are five students that have IQs of \(60, 65, 70, 75, 80\). The students could be put in an order of \(60, 70, 65, 80, 75\).

If the class had 20 students with IQ scores: **20, 25, 30, 35, 40, 45, 50, 55, 60, 64, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110**, in how many ways could the students be seated in the order defined above?

**Note:**

- There is someone of IQ
**64**. - This problem can also be solved using a computer.