Answer each of the questions on your own paper, and be sure to show your work so that partial credit can be adequately assessed. Credit will not be given for answers (even correct ones) without supporting work. Put your name on each page of your paper: [10 points] what is the minimum number of students in a class to guarantee that at least. 5 of them were born in the same month (regardless of the year of their birth): [15 points] (a) find the greatest common divisor d = (7605, 5733) of 7605 and 5733, using the. If |g| < 150, what are the possibilities for |g|: [15 points] the elements of z16 which have a multiplicative inverse form a group g with the following multiplication table: Final exam (a) let h = {1, 7}. Explain: [20 points] let c be the binary linear code with generator matrix.