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?
Answers
Answer:
20 people like to play tennis only
Step-by-step explanation:
total people in a group = 100
people who like cricket= 60
people who like both =20
people who like tennis= 100 - (60-20)
=100-80
=20
Hey there!
Here is your answer ↓↓
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 ) = Number of people who like cricket or tennis
n ( C ) = Number of people who like cricket
n ( T ) = Number of people who like tennis
n ( C ∩ T ) = Number of people who like both cricket and tennis
Now, substituting in the 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
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