
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
An alchemist is preparing a magical elixir. He can choose from four different herbs and six different gems. However, three specific combinations (each involving a different pair of herb and gem) are known to be unstable. How many safe combinations are available for the alchemist to use in his elixir?

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