Exam 2 CSC 228 April 30, 2018 Problem 1. List all integers between -25 and 25 that are congruent to 2 mod 5 AProblem 2. Using modular arithmetic, find the last digit of 492018, m 3. a. Convert the decimal expansion of 160 to binary expansion. b. Convert the binary expansion of (100011)2 to decimal expansion. roblem(@ a. The student body of 10 students wants to select a president, vice president secrtary, and treasurer. In how many ways, can this selection be made? b. A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people have voluntcered for the test, in how many ways can the six people be selected? Problem 5. Using the Euclidean Algorithm, find the GCD of 33 and 20. Problem Prove, using Mathematical Induction, that if n is a non-negative integer, then +1