Ajax in JSF with selectManyCheckbox - ajax

Question

I have a datatable and two checkboxes. The content of the datatable is rendered considering which of the checkboxes are selected. I have the following functional code which renders the datable content when pressing the submit button:
<h:form>
<h:selectManyCheckbox value="#{myBean.selections}">
<f:selectItem itemValue="expired" itemLabel="Expired" />
<f:selectItem itemValue="active" itemLabel="Active" />
</h:selectManyCheckbox>
<h:commandButton id="submit" value="Select"
action="#{myBean.getList}" />
</h:form>
<h:form>
<h:dataTable ... />
</h:form>
However, I want to replace the submit button with an ajax call using the f:ajax tag. I tried something like:
<h:selectManyCheckbox value="#{myBean.selections}">
<f:selectItem itemValue="expired" itemLabel="Expired" />
<f:selectItem itemValue="active" itemLabel="Active" />
<f:ajax event="click" render="#form" listener="#{myBean.getList}" />
</h:selectManyCheckbox>
<h:form>
<h:dataTable .... />
</h:form>
But the content is not rendered. What am I doing wrong?
Bean:
public String[] selections = { "expired", "active" };
public String[] getSelections() {
return selections;
}
public void setSelections(String[] selections) {
this.selections = selections;
}
public void getList() {
for (String option : selections) {
// add expired
if (option.equals("expired"))
showExpired();
// add active
else if (option.equals("active"))
showActive();
}
//return Arrays.toString(selections);
}