The number of students who like watching only one of the three given games = (9% + 12% + 20%) of 500 = 205.Ratio of the number of students who like only football to those who like only hockey = (9% of 500)/(12% of 500) = 9/12 = 3:4.Number of students who like watching all the three games = 15 % of 500 = 75.Note: All values in the Venn diagram are in percentage. Now, make the Venn diagram as per the information given. N(B)= percentage of students who like watching basketball = 62% N(H) = percentage of students who like watching hockey = 53% N(F) = percentage of students who like watching football = 49% Kick start Your Preparations with FREE access to 25+ Mocks, 75+ Videos & 100+ Sectional/Area wise Tests Sign Up Now Find the number of students who like watching at least two of the given games.Find the number of students who like watching only one of the three given games.Find the ratio of number of students who like watching only football to those who like watching only hockey.How many students like watching all the three games?.Also, 27% liked watching football and hockey both, 29% liked watching basketball and hockey both and 28% liked watching football and basket ball both. Number of students who like at least one of tea or coffee = n (only Tea) + n (only coffee) + n (both Tea & coffee) = 60 + 40 + 80 = 180Įxample 2: In a survey of 500 students of a college, it was found that 49% liked watching football, 53% liked watching hockey and 62% liked watching basketball.Number of students who like only one of tea or coffee = 60 + 40 = 100.Number of students who like neither tea nor coffee = 20.Number of students who like only coffee = 40.Number of students who like only tea = 60.Solution: The given information may be represented by the following Venn diagram, where T = tea and C = coffee. How many students like at least one of the beverages?.How many students like only one of tea or coffee?. How many students like neither tea nor coffee?.140 like tea, 120 like coffee and 80 like both tea and coffee. Solved ExamplesĮxample 1: In a college, 200 students are randomly selected. Tip: Always start filling values in the Venn diagram from the innermost value. W = number of elements that belong to none of the sets A, B or C
0 Comments
Leave a Reply. |