A. To avoid this, the QWERTY layout put the keys most likely to be hit in rapid succession on opposite sides. This made the keyboard slow, the story goes, but that was the idea.
B. A different layout, which had been patented by August Dvorak in 1936, was shown to be much faster.
C. The QWERTY design (patented by Christopher Sholes in 1868 and sold to Remington in 1873) aimed to solve a mechanical problem of early typewriters.
D. Yet the Dvorak layout has never been widely adopted , even though (with electric typewriters and then PCs) the anti-jamming rational for QWERTY has been defunct for years.
E. When certain combinations of keys were struck quickly, the type bars often jammed.

The paragraph discusses why the QWERTY keyboard layout was introduced and mentions another format as well. 

We first try to figure out the opening sentence and then form pairs.

The sentence C introduces the QWERTY design and its inventor, and is hence the appropriate opening sentence.

The sentence C mentions the problem with alphabetic placement of letters, and sentence E mentions what the problem was, hence, it is the follow-up of C.

Sentence A presents the solution to the problem and is hence the next sentence.

Sentence B mentions that another faster design was also introduced and then sentence D mentions that the faster design was never widely adopted forming a pair.

Therefore, the sequence is CEABD.