
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 homework assignment, the teacher asks students to choose 6 out of 10 questions in the test paper, and requires that at least 3 of the last 5 questions must be chosen. The number of different ways the students can choose the questions is     kinds.

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