Question

in a group of 100 people.60 people like to play cricket.20 people like to play both cricket and tennis.how many people like to play tennis but not cricket

Answer 1

40 people like to play tennis alone

Answer 2

Answer:

people like to play tennis but not cricket are 60

Step-by-step explanation:

Given :

In a group of 100 people,60 people like to play cricket.

20 people like to play both cricket and tennis.

Solution:

To solve the following problem, we will need to use the formula :

n(C ∪ T) = n(C) + n(T) - n(C ∩ T)

n ( C ∪ T ) denotes Number of people who like cricket or tennis

n ( C ) denotes Number of people who like cricket

n ( T ) denotes Number of people who like tennis

n ( C ∩ T ) denotes Number of people who like both cricket and tennis

So, putting values in formula :

⇒100 = 60 + n ( T ) - 20

⇒100 + 20 = 60 + n ( T )

⇒120 - 60 = n ( T )

⇒60 = n ( T )

The number of people who like to play tennis are 60 .

Hence people like to play tennis but not cricket are 60