Professor Fiendish presents: The Poisoned Cakes and Exploding Bracelet Puzzles! 284d69

In Professor Fiendish's Brain Benders, we see how the Professor tries to use patterns and combinations for one of his evil plans! 4k1cs

Can you solve his diabolical puzzles?

If you can sort out the cakes, then try the bracelets...

If you need the answers, here they are!