How many dots are there on the face opposite the face with two dots?

There are 2, 3, 4 and 6 dots respectively on the adjacent faces of the face having 5 dots. Therefore, the face with one dot will be opposite the face having 5 dots. There are 1, 3, and 5 dots respectively on the adjacent faces of the face having two dots. Therefore, either 4 or 6 dots will be on the face opposite of the face having two dots. Now, 4 and 6 dots cannot be on the opposite faces. Clearly, 6 dots are there on the face opposite to the face with two dots.