Question

FINITE MATH

SETS

There is a group of 570 students drinking in the cafeteria. There are 400 students drinking Coca Cola, 274 students drinking Mountain Dew and 186 drinking Sunkist. There are 125 students drinking every one of them. There are 163 students drinking Coca Cola and Sunkist, 125 drinking Coca Cola and Mountain Dew and 129 drinking Mountain Dew and Sunkist. a. How many students are drinking just Mountain Dew? B. How many students are not drinking Sunkist or Mountain Dew? C. How many students are drinking Coca Cola or Sunkist? D. How many students are not drinking? 5.

Answer 1

Total no. of students = 570 No. of students drinking coca - cola = 400 No. of students drinking Mountain Dew = 274 No. of students drinking Sunkist = 186 let S' denote the total no. of students i.e., n (S') = 570 Let C denote the no. of student drinking coca - cola = 400 i.e., n (C) = 400 let M denote the no. of students drinking Sunkist = n (S) = 186 No. of students drinking coca - cola and Mountain dew = 125 No. of students drinking coca - cola and Sunkist = 163 No of students Mountain dew Sunkist = 129 llrly n (C Intersection M Intersection S) = 125 No. of students drinking only coca - cola & Sunkist = 163 - 125 = 38 \r\n (a) No. of students drinking Mountain dew = 274 No. of students drinking all of them = 125 = n (C Intersection M Intersection S)