Question

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

Answer 1

Solution:

Given:

• There are 65 peoples.
• 40 people like cricket.
• 10 people like both cricket and tennis.

To Find:

• How many people like tennis?

Formula used:

• n(C∪T) = n(C) + n(T) - n(C∩T)

Let C be the people who like cricket.

and T be the people who like Tennis.

So,

=> n(C∪T) = 65

=> n(C) = 40

=> n(C∩T) = 10

So,

=> n(C∪T) = n(C) + n(T) - n(C∩T)

=> 65 = 40 + n(T) - 10

=> n(T) = 65 - 30

=> n(T) = 35

∴ 35 people like tennis.

No. of people who like only tennis not cricket = Number of people who like tennis - Number of people who like both tennis and cricket.

=> n(T) - n(C∩T)

=> 35 - 10

=> 10.

So, there are 25 people who like only tennis not cricket.

Answer 2

Answer:

$\huge\color{purple}{A.T.Q}$

Given ->

Total people in a group = 65

People those who like cricket = 40

People those who like both cricket and tennis = 10

To Find :-

No. of people those who like only tennis but not cricket .

Applying Formula :-

= n(T-C)

= n(T)- n (T C)

= 35 - 10 =25

Answer :- 25 people