5. Solve the following the problems, part a is a sample solution. Solve for b, c, d and e . ( 4 points each for a total of 16 points) a. How many integers are there from 10 through 99? ANSWER Two solutions: (1) By the multiplication rule, the number of integers from 10 through 99 the number of the number of = ways to pick ways to pick the first digit ] the second digit = 9.10 = 90 (ii) By Theorem 9.1.1, the number of integers from 10 through 99 = 90 - 10 + 1 = 90. b. How many odd integers are there from 10 through 99? c. How many integers from 10 through 99 have distinct digits? d. How many odd integers from 10 through 99 have distinct digits? e. What is the probability that a randomly chosen two-digit integer has distinct digits? has distinct digits and is odd