
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 5 Japanese books, 7 English books, and 10 Chinese books. How many ways are there to select two books of different languages? How many ways are there to select two books of the same language? How many ways are there to select two books regardless of their languages?

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