Breaking Into Luggage

Probability Level 2

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 1st1^\text{st} digit is a number between 2 and 6 inclusive.
  • The 2nd2^\text{nd} digit is a prime number between 2 and 9 inclusive.
  • The 3rd3^\text{rd} digit is a number between 5 and 8 inclusive.
  • The 4th4^\text{th} digit is an odd number.

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


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