These sentences should read:

The Correct Preposition

323. We make a great many mistakes also in the choice of prepositions. For example, the preposition between refers to two objects and should never be used when you are speaking of more than two, thus:

This is correct, but it is incorrect to say:

We cannot settle a quarrel between a dozen people. When there are more than two, use the word among. We can perhaps attempt to settle a quarrel among a dozen people. Between refers to two objects, among refers to more than two. For example: