MATH 2030 Quiz: MATH 2030 University of Manitoba Quiz 3
31 Jan 2019
School
Department
Course
Professor
Document Summary
Instructor: r. craigen: time: 20 minutes no aids permitted, total marks: 20. Student number: in a bin are 12 black balls, 7 red balls, 6 blue balls, 3 green balls and one white ball. Answer: 5 colours of balls therefore by php 6 balls will guarantee a pair of the same colour. Note it makes no di erence whether you require the chosen numbers to be distinct or not in this question. In fact, given the procedure described, it is likely some of the numbers may be the same. [4: determine the number of positive integers less than or equal to 300 which are relatively prime to 105. Answer: 105 = 3 5 7. Thus we seek the number of integers in this range not divisible by any of 3, 5 and 7. , 300} and conditions c1, c2, c3 be divisible by 3 , divisible by 5 and divisible by 7 respectively.
