Question

in a group of 70 people 45 speak Hindi language and 33 speak English language and 10 speak neither Hindi nor English how many can speak both English as well as Hindi language how can speak only English language ​

Answer 1

Number of people who can speak both Hindi as well as English are 18 and number of people who can speak only English are 15.

• There is a group of 70 people. Out of which 45 speak Hindi and 33 speak English.
• 10 people speak neither Hindi nor English.
• Now we have to calculate the number of people that speak both Hindi and English.

n(U) = 70

n(A) = 45  (People who speak Hindi)

n(B) = 33   (People who speak English)

• Now , n(A∪B) = n(U) - people who speak neither Hindi nor English

n(A∪B) = 70 - 10 = 60

• Now we have the formula,

n(A∪B) = n(A) + n(B) - n(A∩B)

• We have to find the number of people speaking Hindi and English both. that is n(A∩B).

• We substitute in the above formula,

60 = 45 + 33 - n(A∩B)

n(A∩B) = 78 - 60

n(A∩B) = 18

• Therefore people who speak Hindi as well as English are 18.
• Now, people who can speak only English are -

n(B) - n(A∩B) = 33 - 18 = 15.

Answer 2

Step-by-step explanation:

15 members is the answer