Question: 1. Eight additional samples arrive and so the Storage Coordinator cannot guarantee that the Protagonist's sample will remain in drawer 59. What two sets seem to have the same cardinality here? Define a function to verify that their cardinality is, in fact, the same.
2. "Every sample is in a numbered drawer. I'll just move every sample to the drawer with twice the current number, and then all the odd-numbered drawers will be free."
(a) What is the sample-moving function proposed by the storage coordinator?
(b) Make and prove a conjecture about cardinalities of sets. Is there a bijection hiding here?