
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
There are 6 different traditional Chinese paintings, 4 different oil paintings, and 5 different watercolor paintings.<br/>$(1)$ How many different ways are there to select one painting from each of the traditional Chinese paintings, oil paintings, and watercolor paintings to decorate a room?<br/>$(2)$ How many different ways are there to select two paintings of different types from these paintings to decorate a room?

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