Answer to Question #245837 in Statistics and Probability for Happy

Question

An anonymous caller told the police that he saw a hit and run incident and had briefly seen the number plate of the car. He knew that the number plate started with two letters – a B and an E – but could not remember the order. After the letters were four digits – 3, 4, 8 and 9 – but again he could not remember the order. The four numbers were followed by the letter V. How many number plates will the police have to check to be sure of including the car involved in the hit and run incident?

Answer 1

$$2!\cdot4!=2(24)=48$$

The police will have to check $48$ number plates to be sure of including the car involved in the hit and run incident.