Question

In a group of 15 people 7 read french 8 read english while three of them read none of these two how many of them read french and english both

Answer 1

3 person will read both French and English

Answer 2

Answer:

Number of people who can read both French and English = 3

Step-by-step explanation:

Total number of people in the group, U = 15

Number of people who can read French, n(F) = 7

Number of people who can read English, N(E) = 8

Also, 3 people cannot read any of the languages

So, n(F ∪ E) = U - 3

⇒ n(F ∪ E) = 12

Now, we need to find n(F ∩ E)

⇒ n(F ∩ E) = n(F) + n(E) + n(F ∪ E)

⇒ n(F ∩ E) = 7 + 8 - 12

⇒ n(F ∩ E) = 15 - 12

⇒ n(F ∩ E) = 3

Hence, Number of people who can read both French and English = 3