Powershell switch one to many association
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I am wondering if it is possible to create switch cases with more than 1 value per case. I am trying to take in user input in different ways.
The menu looks something like:

        $database = Read-Host "[1] db 1 [2] db2 [3] db3 [4] ALL dbs"
This is then passed as a parameter into 4 different functions, based off of what the user response is in my next Read-host.
Without making a ridiculous amount of cases, I want to be able to accept all possible inputs. Ie, if the user wants to see 2 databases, they can enter 32 or 23. If they want to see all, it would accept 4, 321, 123, 213... Currently I am trying to accomplish this by:

    switch ($database) { 
    (4 -or 123 -or 312 -or ...) {#return all paths}
    (12 -or 21) { #return 1st 2 db paths}
    (31 -or 13) { #return 1st and last db paths}
    (1) {#return 1st db path}
    ...
    }
This is causing a syntax error, so it clearly does not work. 
As you can tell, there are going to be a lot of cases already (7). If I had to list out every single option there would be more than double (16). Is there a way to create a one to many association in a switch case? If not, does anyone have an idea of a new approach I can take to this problem?