Numeric Reasoning>Solving Problems with Large Quantities Using Combinatorics(TEKS.AQR.9-12.2.E) Practice Test

UIL regionals use a fixed 16-team single-elimination bracket with 8 teams on each side. Ignoring seeds, how many distinct pairs of teams could meet in the championship game?

A Texas special-series license plate has format LL DDD LL. Letters come from the 23-letter set (I, O, Q excluded). Letters cannot repeat anywhere on the plate; digits (0–9) may repeat. How many distinct plates are possible?