
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 10 different balls: 2 red balls, 5 yellow balls, and 3 white balls. If taking 1 red ball earns 5 points, taking 1 yellow ball earns 1 point, and taking 1 white ball earns 2 points, find the number of ways to draw 5 balls such that the total score is greater than 10 points but less than 15 points.

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