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

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(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

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