In a group of 50 people, 35 speak Hindi, 25 s | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let $H$ be the set of people who speak Hindi and $E$ be the set of people who speak English.Given:Total number of people $n(H \cup E) = 50$Number

Vedclass · Accepted Answer

$15$

Vedclass · Answer

(C) Let $H$ be the set of people who speak Hindi and $E$ be the set of people who speak English.Given:Total number of people $n(H \cup E) = 50$Number of people who speak Hindi $n(H) = 35$Number of people who speak both Hindi and English $n(H \cap E) = 25$First, find the number of people who speak Hindi only:$n(H 	ext{ only}) = n(H) - n(H \cap E) = 35 - 25 = 10$Since all people speak either Hindi or English or both, the total number of people is given by:$n(H \cup E) = n(H 	ext{ only}) + n(E 	ext{ only}) + n(H \cap E)$$50 = 10 + n(E 	ext{ only}) + 25$$50 = 35 + n(E 	ext{ only})$$n(E 	ext{ only}) = 50 - 35 = 15$Therefore, the number of people who speak English only is $15$.

In a group of $50$ people, $35$ speak Hindi, $25$ speak both Hindi and English, and all the people speak Hindi or English or both. The number of people who speak English only is

Similar Questions

Write down the power set of $A = \{8, 9\}$.

The equivalent function of $\log {x^2}$ is

The domain of $f(x) = \frac{\log_2(x + 3)}{x^2 + 3x + 2}$ is

In a class of $30$ pupils,$12$ take needle work,$16$ take physics,and $18$ take history. If all the $30$ students take at least one subject and no one takes all three,then the number of pupils taking $2$ subjects is:

If $A = \{a, d\}, B = \{b, c, e\}$ and $C = \{b, c, f\},$ then $A \times (B - C) =$

Vedclass Test Series

Exam Paper Generator

Online Exam Module