
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
In a school drama club of 150 students, each student can either write, direct, or produce. Every student has at least one skill but no student can do all three. There are 60 students who cannot write, 90 students who cannot direct, and 40 students who cannot produce. Determine the number of students who have exactly two of these skills.

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