9. [5 points] Draw a circuit that computes the function described by the input/output table. You may want to use the laws of Boolean algebra to simplify your Boolean expression before you draw the circuit. [hint: see section 5.6 under additional problems] 10. [6 points] License plate numbers in a certain state consists of seven characters. The rst character is a digit (0 through 9). The next four characters are capital letters (A through Z) and the last two characters are digits. Therefore, a license plate number :in this state can be any string of the form: [hint see section 6.3 under additional problems] DigitLetterLetterLetterLetterDigitDigit How many different license plate numbers are possible? How many license plate numbers are possible if no digit appears more than once? c. How many license plate numbers are possible if no digit or letter appears more than once? FE\" 11. [6 points] At a certain university in the U.S., all phone numbers are 7-digits long and start with either 824 or 825. [hint see section 6.4 under additional problems] a. How many different phone numbers are possible? b. How many different phone numbers are there in which the last four digits are all different