
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
The deli now offers five kinds of bread, seven kinds of meat, and six kinds of cheese. A sandwich consists of one type of bread, one type of meat, and one type of cheese. The deli options include turkey, beef, Swiss cheese, and rye bread. If Ben never orders a sandwich with a beef/Swiss cheese combination, nor a sandwich with rye bread/turkey combination, nor a sandwich with a turkey/Swiss cheese combination, how many different sandwiches could Ben order?

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