Answer:
total number of license plates : 676000
total number of license plates with no repeated letters and no repeated digits : 468000
Step-by-step explanation:
i) the license plate is to be made up of two letters (out of 26 alphabets) followed by 5 digits ( from 0 to 9).
therefore the total number of combinations for license plates when repetitions of digits and numbers are allowed will be given
26 × 26 × 10 × 10 × 10 = 676000
ii) the number of license plates containing no repeated letters and no repeated digits will be given by
26 × 25 × 10 × 9 × 8 = 468000