VTMO 2026 - Grade 6 - Semifinal - SET 9 - Self-study Question 10

A digital clock displays HH:MM, from 00:00 to 23:59. For example, at 8:05 a.m. it displays 08:05, and at 9:09 p.m. it displays 21:09. How many times in one day does its display contain exactly the four digits 2, 0, 2, 0, in any order?