ACM-ICPC Amritapuri selection criteria

As per the selection criteria given on the site, top team from each institution will be selected first. However, this shows that many institutions (including some IITs) have just 1-2 registrations whereas institutions like IIIT-H, NSIT, DTU, IIIT-A have 60+ registrations. Is there any minimum number of participation criteria too for the selection of top team from respective institutions? If no, then the selection criteria favours institutions with just 1-2 registrations which is highly unfair.