Hi,
Can we assume that all the checkboxes are in the same subform and they have the default values for on and off (that is 1 and 0).
If so try the following JavaScript in the calculate event of the subform containing the checkboxes;
var checkBoxes = this.resolveNodes('#field.[ui.oneOfChild.className=="checkButton" and $ == 1]');
Subform2.presence = (checkBoxes.length > 0) ? "visible" : "hidden";
The first line gets a list of all the child fields that are checkboxes and have a value of 1 (or on).
The next line sets the presence of the subform (which I am calling Subform2) to visible if there is one or more set to true)
Regards
Bruce