Placing the word "each" to result in different outcomes?

Question

1. The three documents were signed by each Anthony, Jack, and Mandy.

2. Each of the three documents was signed by Anthony, Jack, and Mandy.

Do the above two sentences mean the same thing? Or does the first sentence mean that one document would be signed by Anthony, another by Jack, and another by Mandy?

If both mean the same thing, how do I say that there are three documents and each person signs one?

Answer 1

1. The three documents were signed by each Anthony, Jack, and Mandy.

• This implies three documents were all signed by numerous "Anthony"s, "Jack"s, and "Mandy"s.

2. Each of the three documents was signed by Anthony, Jack, and Mandy.

• This would mean all of the documents were signed by all three people.

In this case, I would use the word respectively instead of each, like this:

The three documents were respectively signed by Anthony, Jack, and Mandy.

or

The three documents were signed by Anthony, Jack, and Mandy, respectively.