And like I said, it's only finite if the person attempting to crack it knows the combination length. Then it turns into n^n where n is the number of buttons. If the combination remains an unknown, which it would, then it becomes n^x where n is the number of buttons and x is the guessed combination length. Which, because the x is an unknown, gives an infinite amount of possibilities. So yeah, without prior knowledge (combination length or total possible combinations), the lock is infinite.
281000000000000/60/60/24/52/100 = 625445
Incase you don't know that means if you try a different combination every 1 second it will take you 625,445 CENTURIES! to try every combination.
Lets say you get lucky and do it within the first quarter it will still take you approx. 150,000 Centuries to crack it.
Average of lets say 100, you would need 150,000 people try every single second of the live to have a 1/4 chance of cracking it.
Still possible?? Still easy??
I dont think so
Also because of the redstone limits in minecarft x will be less than, lets say, 1,000,000 therefore not infinite but still near impossible to crack