
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
It is known that among 10 different products, there are 4 defective ones. Each product is tested one by one until all defective products are found.  
(1) If the first defective product is found exactly on the 5th test, and the last defective product is found on the 10th test, how many different testing methods are there?  
(2) If all defective products are found immediately after the 5th test, how many different testing methods are there?

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