Question: 1. Farmer Jimenez hides 12 decorated duck eggs, all colored differently, and then lets her three weasels out of a cage to hunt for them. In how many ways can the weasels find the eggs? Bear in mind that it is possible for a weasel to find no eggs, or all 12, and so on.
2. Draw Venn diagrams representing the sets (A\B)∪(B\C), (A\B)∪(B∩C), (A ∪C) \ (A \ B), (A ∪C) \ (A ∩ B), and (A ∪ B) \ (B \C). Do any two (or more) of these represent the same set?