Not true, the opposite often happens when you don't really have a choice and are mentally exhausted. If you're expecting choice and don't get it, then of course you're not going to be satisfied. But the lack of any choice (other than just leaving) can make certain people in certain states more satisfied than anything else. Legacy broadcast radio worked on this principle for a long time, and still does for people who just keep their car radio on a single station and let the DJ or talk radio producer make all the decisions.

> what will be the optimal number of options?

That varies significantly, both between individuals in terms of the average tolerance, as well as within individuals in terms of their present psychological state.