Suppose That All License Plates in a State Have Three

Multiple Choice

Suppose that all license plates in a state have three of the letters A through Z followed by four of the digits 0 through 9. If a plate is chosen at random, what is the probability that all three letters and all four digits on the plate will be different? Round your answer to five decimal places. ​

A) 0.018639
B) 0.074556
C) 0.447337
D) 0.546000
E) 0.080769