Please do question 1 to 5 it's a discrete math from college! Thanks

CS 291 - Assignment-1 I Name: ' Total Grades 1D No.: ' Solve the following questions: Question (2 points) List all the positive divisors of each number: Number | Divisor Question 2 (10 points) Compute the value of the following expressions: 344 mod 5= 0] 344 div 5= r -344 mod 5= -] -344 div 5= e (e[ weiiar 51 Cenpopiong [ lem(1078, 140) Question 3. (8 points) Question How many binary strir f length 12 do not have exactly four 1's? How many binary strings of length 12 start with 101 or 11107 How many binary strings of length 12 start with 00 or end with 00 or both? S = {a,b,c,d,e, f,g}. Whatis |P(S)|? CS 291 - Assignment-1 Question 4. (7 points) Consider the following definitions for sets of characters: Digits= {0, 1,2, 3,4,5,6,7,8,9} * Letters = {a, b,c,d, , f, g, h,i,5,k,1,m,n,0,p,q,7,5,t,u,v,w, x,y, 2} Special characters = {*, &, $, #} Compute the number of passwords that satisfy the given constraints Question Answer Strings of length 6 . Characters can be special characters, digits, or letters. Strings of length 7, 8, or 9. Characters can be special characters, digits, or letters. Question 5 (3 points). Ten members of a club are lining up in a row for a photograph. The club has one president, one VP, one secretary, and one treasurer. How many ways are there to line up the ten people