
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
The first layer of the bookshelf has 6 different Chinese books, the second layer has 5 different math books, and the third layer has 4 different foreign language books.<br/>$(1)$ If you randomly select 1 book from the bookshelf, how many different ways can you do this?<br/>$(2)$ If you select 1 book from each of the first, second, and third layers of the bookshelf, how many different ways can you do this?

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