Q1
A school organised a fresher's party for 60 students of 11th class. It was decided that Coffee, Tea
and Juice will be distributed in the party. It was found that 25 students drink Coffee, 26 drink Tea, 26
drink Juice, 9 drink both Coffee and Juice, 8 drink both Tea and Juice, 11 drink both Coffee and Tea
and 3 students had all three drinks.
(a) Find number of students who drink only coffee
(i) 10
(ii) 6
(iii) 8
(iv) 7
(b) Find number of students who drink coffee and juice but not tea
(i) 5
(i) 6
(iii) 7
(iv) 8
(c) Number of students who had exactly one drink is:
(0) 10
(ii) 20
(iii) 30
(iv) 40
(d) Number of students who had atleast one of the drink
(i) 28
(ii) 60
(iii) 52
(iv) 40
(e) Number of students who did not take any drink :
(0) 8
(ii) 5
(iii) 10
(iv) None of these
Answers
Given : A school organised a fresher's party for 60 students of 11th class. It was decided that Coffee, Tea and Juice will be distributed in the party. It was found that
25 students drink Coffee,
26 drink Tea,
26 drink Juice, 9 drink both Coffee and Juice,
8 drink both Tea and Juice,
11 drink both Coffee and Tea
and 3 students had all three drinks.
To Find : number of students who drink only coffee
number of students who drink coffee and juice but not tea
Number of students who had exactly one drink is:
Number of students who had atleast one of the drink
Number of students who did not take any drink :
Solution:
C = 25
T = 26
J = 26
C ∩ J = 9
T ∩ J = 8
C ∩ T = 11
C ∩ J ∩ T = 3
Total = C + T + J - C ∩ J - T ∩ J - C ∩ T + C ∩ J ∩ T + None
=> 60 = 25 + 26 + 26 - 9 - 8 - 11 + 3 + None
=> None = 8
Number of students who did not take any drink : = 8
number of students who drink only coffee = C - C ∩ J - C ∩ T + C ∩ J ∩ T
= 25 - 9 - 11 + 3
= 8
number of students who drink coffee and juice but not tea
C ∩ J - C ∩ J ∩ T = 9 - 3 = 6
exactly one drink is:
C + T + J - 2 ( C ∩ J + T ∩ J + C ∩ T) + 3 C ∩ J ∩ T
= 25 + 26 + 26 - 2( 9 + 8 + 11) + 3(3)
= 77 - 56 + 9
= 30
Number of students who had exactly one drink is: 30
Number of students who had atleast one of the drink = Total - Number of students who did not take any drink :
= 60 - 8 = 52
in attached venn diagram read M as J .
Learn More"
https://brainly.in/question/18146303
In a survey of 60 people
Venn diagrams
brainly.in/question/20024875
Which of venn diagrams best represent the relation between square ...
brainly.in/question/12163163
Observe the given Venn diagram and write the following sets. (i) A (ii ...
brainly.in/question/4557661
find the number of student who had only cofe