
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A wizard is creating a magic elixir. In order to do so, he must select one of four enchanted herbs and one of six mystical crystals. However, two of the crystals are incompatible with three of the herbs. How many valid combinations can the wizard use to concoct his elixir?

Present the answer in LaTex format: \boxed{Your answer}
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