Translation of "Of different" in Chinese

We're interested in observing the customs of different regions.

我们对观察不同地区的风俗感兴趣。

There are a lot of different peoples in the world.

世界上有很多不同的民族。

The explanation below was achieved by comparing and contrasting a variety of different theories.

下面的解釋是通過比較和對比各種不同的理論。