Murderous Muses - How To Solve Puzzles For Locked Rooms

Murderous Muses - How to solve puzzles to get the keys to open the locked doors.
Timestamps:
00:00:11 Code Puzzle
00:02:33 Tickets Puzzle
00:03:49 Telephone Puzzle
00:05:16 Matching Puzzle
Puzzles are random so the solutions will be different every time you play them. The order of the puzzles appearing is also random.

[@Hutchdh]

What's the logic behind these puzzles? I figured it out through brute force.