A witness reported that a car seen speeding away from the scene of the crime had a number plate that began with V or W, the digits were 4, 7 and 8 and the end letters were A, C, E. He could not however remember the order of the digits or the end letters. How many cars would need to be checked to be sure of including the suspect car?

xample 3.32

(a) In how many ways can the letters of the word STATISTICS be arranged?

(b) If the letters of the word MINIMUM are arranged in a line at random, what is the probability that the arrangement begins with MMM?