
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
Jane will randomly select three letters from the word BEACH, five letters from the word GARDENS, and two letters from the word SHINE. What is the probability that she will have all of the letters from the word SANDWICH? Express your answer as a common fraction.

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