Given:

In a group of 65 people:

- 40 people like cricket

- 10 like both cricket and tennis

To Find:

- Number of people like tennis only

- Number of people like tennis

Let us consider,

Number of people who like cricket = n(C) = 40

Number of people who like tennis = n(T)

Number of people who like cricket or tennis = n(C ∪ T) = 65

Number of people who like cricket and tennis both = n(C ∩ T) = 10

Venn diagram:

Now,

n(C ∪ T) = n(C) + n(T) - n(C ∩ T)

65 = 40 + n(T) – 10

n(T) = 65 – 40 + 10

= 35

Therefore, number of people who like tennis = 35

Now,

Number of people who like tennis only = n(T - C)

n(T - C) = n(T) - n(C ∩ T)

= 35 – 10

= 25

Therefore, the number of people who like tennis only = 25