# Breaking Into Luggage

After a few hours, David finally arrived at his hotel. When he wanted to open his briefcase; he couldn't remember the 4-digit combination code. He was, however, able to recall:

• The $$1^\text{st}$$ digit is a number between 2 and 6 inclusive.
• The $$2^\text{nd}$$ digit is a prime number between 2 and 9 inclusive.
• The $$3^\text{rd}$$ digit is a number between 5 and 8 inclusive.
• The $$4^\text{th}$$ digit is an odd number.

What is the total number of possible combination code to the briefcase?

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