In: Statistics and Probability
A swedish license plate consists of three letters followed by three digits. Find the probability that a randomly selected plate has a) no duplicate letters b) no duplicate digits c) all letters the same d) only odd digits e) no duplicate letters and all digits equal
A swedish license plate consists of three letters followed by three digits.
Total number of arrangements possible to make the license plate consisting three letters followed by three digits


a) Total number of arrangements possible with no duplicate letters

The probability that a randomly selected plate has no duplicate letters



b) Total number of arrangements possible with no duplicate digits


The probability that a randomly selected plate has no duplicate digits



c) Total number of arrangements possible with all letters the same



d) Number of odd digit = 5
Total number of arrangements possible with only odd digits

The probability that a randomly selected plate has only odd digits



e) Total number of arrangements possible with no duplicate letters and all digits equal


The probability that a randomly selected plate has no duplicate letters and all digits equal


