1. It is known that there are four ways to prepare magical pollen to create elixirs of kindness, joy, wisdom, luck, health, friendliness, and creativity. But elixirs of kindness, joy, and wisdom are made from fairy pollen, while elixirs of luck, health, friendliness, and creativity are made from elf pollen. Among the instructions for preparing the pollen, there are two methods for fairy pollen and two methods for elf pollen. How many ways are there to prepare all the elixirs?
Solution. Four methods of preparing pollen are represented by four branches of a tree. From two branches with methods of preparing fairy pollen, three branches of elixirs (of goodness, joy, and wisdom) branch off, and from two branches with methods of preparing elf pollen, four branches (of luck, health, friendliness, and creativity) branch off. This results in the following scheme:

![](https://cdn.mathpix.com/cropped/2024_05_06_d8d367ee0f9d10999d03g-1.jpg?height=483&width=1040&top_left_y=1409&top_left_x=448)

Thus, we have the answer: $2 \cdot 3 + 2 \cdot 4 = 14$ (types)

## Answer: 14 types of elixirs.