Each of + plural word + singular OR plural verb

English as a Second Language English Vocabulary, Grammar and Idioms
1

While I was just looking through ‘Advanced Grammar in Use’ ( by M.Hewings), I came acroos the following rule:

With any of, each of, either of, neither of, or none of and plural noun we can use a singular or plural verb. However, we prefer a singular verb in careful written English. I agree with the above-mentioned phrases except for ‘each of’. And in exercise section the following sentence/sample was given:

Each of Susan’s collegues … sent her a personal letter of support.

In the ‘Key to exercises’ both has and have were given as the correct answers.

I wonder it is true.

Also, in ‘Practical English Usage’ (M.Swan) the following rule is given:
… a following verb is normally singular. (underline is mine)

  Each of them [i]has[/i] problems.

Considering the word ‘normally’ in the rule, can I say that occasionally (at least in informal cases) a plural verb is also acceptable?

   Thanks.
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2

When it is distributive, we have a tendency to use the plural verb with ‘each’, but mostly informally.

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3

Hello, dear Teacher!

Could you give me a few examples,please?

 Thanks.
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4

Each of you have to complete this task.
Each one of them are responsible for the defeat.

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