Question 10
The diagram below shows a grid with 2 rows and 5 columns.

The grid must be completely covered using the following types of tiles namely:
- a 1-unit tile, which occupies one space $(1\times1)$ or
- a 2-unit tile, which occupies two spaces and may be placed either horizontally $(1\times2)$ or vertically $(2\times1)$.

How many different ways are there to completely cover the entire $2\times5$ grid without overlapping?

The grid must be completely covered using the following types of tiles namely:
- a 1-unit tile, which occupies one space $(1\times1)$ or
- a 2-unit tile, which occupies two spaces and may be placed either horizontally $(1\times2)$ or vertically $(2\times1)$.

How many different ways are there to completely cover the entire $2\times5$ grid without overlapping?