
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
For testing a certain product, there are 6 different genuine items and 4 different defective items. The test is conducted one by one until all the defective items are identified. If all defective items are exactly identified by the fifth test, then there are     possible methods for such testing (answer in digits).

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