
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 8 students in total, consisting of both male and female students. If we select 2 male students and 1 female student to participate in mathematics, physics, and chemistry competitions respectively, and it is known that there are a total of 90 different schemes, calculate the numbers of male and female students respectively.

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