
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
During product quality inspection, it is common to randomly select a portion of the products for examination. Now, from a total of 100 products consisting of 98 non-defective items and 2 defective items, 3 items are randomly selected for inspection.  
(1) How many different ways are there to select the 3 items?  
(2) How many ways are there to select exactly 1 defective item?  
(3) How many ways are there to select at least 1 defective item?  
(4) If exactly 1 defective item is selected, and the 3 selected items are then placed in a row on a display stand for comparison, how many different arrangements are there?

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