
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 Pythagoras High School band has $120$ female and $90$ male members. The Pythagoras High School orchestra has $90$ female and $120$ male members. Additionally, the school has a choir with $50$ female and $40$ male members, with $30$ females and $20$ males participating in all three groups (band, orchestra, and choir). Altogether, there are $250$ students who are in either band, orchestra, choir, or any combination of these. The number of males in the band who are NOT in the orchestra is
A) 10
B) 20
C) 30
D) 40
E) 50

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