
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
A device consists of \( n \) elements. The probability of failure of any element during an experiment is \( p \). Find the expected number of such experiments in which exactly \( m \) elements fail if a total of \( N \) experiments are conducted. It is assumed that the experiments are independent of one another.

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