There is a work to be done

Everybody thought anybody can do that work

Anybody thought somebody will do that work

Nobody did that work, finally.

I think you are referring to the following:

This is a little story about four people named Everybody, Somebody, Anybody, and Nobody.

There was an important job to be done and Everybody was sure that Somebody would do it.

Anybody could have done it, but Nobody did it.

Somebody got angry about that because it was Everybody's job.

Everybody thought that Anybody could do it, but Nobody realized that Everybody wouldn't do it.

It ended up that Everybody blamed Somebody when Nobody did what Anybody could have done

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~ Morning rain