can someone answer his question?

You have to tile a room that is two units wide and N units long. You have with you two

types of tiles: a rectangle that is one unit wide and two units long, and an L-shaped

tile covering three square units. Here are pictures of the two types of tiles.

You are allowed to rotate the tiles when you lay them. You have an infinite supply of

both types of tiles. Your objective is to calculate the number of different ways of tiling

the room using these tiles.

For instance, a 2 × 3 room can be tiled in 5 different ways, as follows:

2

Notice that a tiling can use both types of tiles. Consider, for instance, the following

tiling of a 2 × 4 room.

Calculate the number of different ways of tiling rooms of the following sizes.

(a) 2 × 8

(b) 2 × 10

(c) 2 × 12