[SalesForce] Adding multiple conditions in rendered argument

I've been able to make things like this by simply doing this:

render="{!HasTeamMeber && ENT_ED_LIHTC__c.recordtype.name =='Standard Deal'}"

At least it seems to work fine with a page I was working on.

Another way would be to have a Boolean method in your controller that returns true or false and put the logic there.

I would just use a controller property to control the visibility. You also need to use the rerender property for the commandButton. Something like this

VF Page

<apex:commandButton action="{!show}" value="Show" id="cb" rerender="myTable"/>

<apex:pageblocktable rendered="{!showTable}" value="{!Departments}" var="dept_ref" id="myTable">

     <apex:column value="{!dept_ref.Subject__c}"/>
     <apex:column value="{!dept_ref.Syllabus__c}"/>
     <apex:column value="{!dept_ref.Employees__c}" headervalue="Emp count"/>
     <apex:column headervalue="Name" value="{!dept_ref.Name}"/>

</apex:pageblocktable>

APEX

public class myController {

    public boolean showTable      {get;set;}

    public myController() {
         showTable = false;
    }

    public void show() {
         showTable = true;
    } 
}