Question

Q3. In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How
many like tennis only and not cricket? How many like tennis?

Answer 1

10 ..................

Answer 2

Answer:

Step-by-step explanation:

Let C denote the set the people like cricket, and T denote the set of people who like tennis

∴n(C∪T)=65,n(C)=40,n(C∩T)=10

We know that

n(C∪T)=n(C)+n(T)−n(C∩T)

∴65=40+n(T)−10

⇒65=30+n(T)

⇒n(T)=65−30=35

Therefore, 35 people like tennis.

Now,

n(T−C)=n(T)−n(T∩C)

⇒n(T−C)=35−10=25

Thus only 25 people like Tennis

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