Question

17.
An expert interviewed 100 students to determine the selection of 3 sports Cricket, Football and
Hockey. The expert reported that 10 students takes all the three sports: 20 students takes Cricket
and Football: 25 students takes Cricket and Hockey: 20 students takes Football and Hockey, 12
students takes Cricket only: 15 students takes Football only and 18 students takes Hockey only.
The given below figure expresses the above situation in the form of a Venn-diagram.
Based on the above given situation and figure, Answer any 4 MCQ's out of the given 5
questions
The number of students who did not takes any of the three sports are:
c) 10
(ii) The number of students who takes exactly two of the sports are:
d) 20
a) 20
c) 35
b) 30
d) 45
(ii) The number of students who takes at least one of the three sports are:
a) 85
c) 95
b) 90
d) 100
(iv) The number of students who takes Football are:
a) 45
C 30
b) 35
d) 15
(v) The number of students who takes at most two sports are:
a) 90
c) 85
b) 100
d) 95
​

Answer 1

Answer:

SUCH A LONG QUESTION

Answer 2

Step-by-step explanation:

n(c U hUf) = 12+10+15+15+10+10+18 =90

i) no of students not taken anything = 100-90=10

ii)exactly 2 sports = 10+10+15=35

iii)at least one of 3 sports = all - none = 100-10=90

iv)football = 10+10+10+15= 45

v) atmost 2 sports = no. of students playing 0, 1 or 2sports

none = 10

1 sport = 12+15+18=45

2 sports= 10+15+10=35

atmost 2 =10+45+35=90