Question 1 (3 points) Q1. Consider the following options for characters in setting a password: - Digits = { 0, 1, 2, 3,4, 5, 6, 7, 8, 9} - Letters = la. b, c, d, e, f, g, h, i, i, k, I, m. n, 0, p. q. r, s, t, u, v, W. x, y, z} - Special characters = { *, &, $, #} Compute the number of passwords possible that satisfy these conditions: - Password must be of length 5. - Characters can be special characters, digits, or letters. - Characters may be repeated. Your Answer: Answer Question 2 (3 points) Q2. Consider the following options for characters in setting a password: - Digits = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9} - Letters = {a, b, c, d, e, f, g, h, i, j, k, I, m, n, 0, p. q, r, S. t, u, v, W. x, y. z} - Special characters = { *, &, $, #} Compute the number of passwords possible that satisfy these conditions: - Password must be of length 9. - Characters can be special characters, digits, or letters. - The first character must be a letter. - Characters may be repeated. Your Answer: Answer Question 3 (3 points) Q4. Suppose account numbers for an internet service provider consist of alpha- numeric characters. The first character is a digit (0 through 9). The next 5 characters are capital letters (A through 2) and the last four characters are digits. How many account numbers are possible if no digit appears more than once? Your Answer: Answer Question 4 (3 points) Q5. If 11 students from a lst-grade class are lining up to enter the cafeteria line for lunch, how many ways are there to line up the 11 students? Your Answer: Answer Question 5 (3 points) Q10. A ternary string is an ordered string of characters which consists of digits (0,1, or 2). For example, the ternary string 2122010 consists of exactly 2 zero's, 2 one's and 3 two's; another ternary string meeting these conditions is 0021221. How many ternary strings are there with exactly 4 zero's, 4 one's and 5 two's? Your