
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
A total of 2015 tickets, numbered 1, 2, 3, 4, ..., 2014, 2015, are placed in an empty bag. Alfie removes ticket \( a \) from the bag. Bernice then removes ticket \( b \) from the bag. Finally, Charlie removes ticket \( c \) from the bag. They notice that \( a < b < c \) and \( a + b + c = 2018 \). In how many ways could this happen?

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