Last year my son received his letter inviting him to apply for the Chancellor’s scholarship 11 days after it was mailed. He had to scramble a bit. We live on the west coast, but not exactly in a remote area.
I think they end up with about 10 Chancellor’s scholars, +/-.
And as amandakayak noted, they don’t just invite those with full tuition scholarships, nor do they invite all of the kids that get the full tuition scholarships.