1. Problem 1.2 Checking Plate Numbers The witness claimed that he saw the license plate of the van. He said that it was an instate plate containing the letter sequence MTU. In the state in which the robbery took place, license plates contain three letters followed by three numbers. ABC123 How might this information help the detective solve her case?

2. Problem 1.2 Detective Curious wants to run each possible plate number through the computer to find out whether the registered owner has a criminal record. It takes about 20 seconds to check each plate number. 1. How many possible plates start with MTU? 2. Do you think this is a reasonable number of plates for the detective to check?

3. Problem 1.2 Follow-up 1.How many possible license plates start with MT? How does this compare to the number of plates starting with MTU? 2.In another state, the license plates have four letters followed by two numbers. ABCD12 3.How does the number of possible plates for this state compare to the number of possible plates for the state where the crime took place?