Activity 2: Solve the following problems using Venn Diagram. 1. Out of fifty students, 34 joined the Journalism Class and 25 joined the Robotics Club. a) If 16 students joined both clubs, how many students are in neither club? b) How many are in either club? 2. In a school, all the students play either basketball or badminton or both. There are 200 students who play basketball, 150 students play badminton and 80 students play both games. Find: a) the number of students who play basketball only. b) the number of students who play badminton only. c) the total number of students in the school.
Answers
Given :
Out of Fifty students, 34 joined the Journalism Class and
25 joined the Robotics Club.
16 students joined both clubs
To Find :
a) how many students are in neither club?
b) How many are in either club
Solution:
n(J) = 34
n(R) = 25
n ( R ∩ J) = 16
in neither club
Total = n(J) + n(R) - n ( R ∩ J) + n( in neither club)
=> 50 = 34 + 25 - 16 + n( in neither club)
=> n( in neither club) = 7
in either club = 50 - 7 = 43
all the students play either basketball or badminton or both.
the number of students who play basketball only = basketball - both
= 200 - 80
= 120
badminton only = 150 - 80 = 70
Total number of students = 120 + 70 + 80
= 270
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Venn diagram Which of the option(s) is (are) correct?
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Venn diagram Which of the option(s) is (are) correct?
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