
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, six kinds of meat, and four kinds of cheese. A sandwich consists of one type of bread, one type of meat, and one type of cheese. The deli includes rye bread, turkey, Swiss cheese, and multigrain bread. If Bob never orders a sandwich with a turkey/Swiss cheese combination, nor a sandwich with a multigrain bread/rye bread combination, how many different sandwiches could Bob order?

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