Asked by Anonymous

We have two kind of tiles : 1 x 1 and 2 x 2, and use them to cover the 8 x 3 road without overlapping, how many different ways to arrange tiles there?
Answered by Major
46
Answered by Anonymous
It is not the right answer, unfortunately.
Answered by Steve
well, using 24 1x1 tiles is one way.

Using 2x2 tiles, only one tile will fit across. It can be on the left or right side.

So, a single 2x2 tile can be placed in 2x7=14 places.

Now consider using more than one 2x2 tile. Figure how many places it can slide around into. I'm sure you can work it out.

Only a maximum of 4 2x2 tiles can fit into the road.
Answered by Anonymous
Ok.
So for 2x2 2 tiles I got 16
for 2x2 3 tiles I got 24
and for 2x2 4 tiles I got 10

Finally, I counted up 65 ways. But it is still the wrong answer. Where am I wrong?
Answered by cooler
must use recurrence equation.
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