In a group of 1000 people,there are 750 peopl | vedclass

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Question

(A) Let $H$ be the set of people who speak Hindi and $E$ be the set of people who speak English.Given: $n(H \cup E) = 1000$,$n(H) = 750$,$n(E) = 400$.

Vedclass · Accepted Answer

$600$

Vedclass · Answer

(A) Let $H$ be the set of people who speak Hindi and $E$ be the set of people who speak English.Given: $n(H \cup E) = 1000$,$n(H) = 750$,$n(E) = 400$.Using the formula: $n(H \cup E) = n(H) + n(E) - n(H \cap E)$.Substituting the values: $1000 = 750 + 400 - n(H \cap E)$.$1000 = 1150 - n(H \cap E)$.$n(H \cap E) = 1150 - 1000 = 150$.Number of people who can speak Hindi only is given by $n(H) - n(H \cap E)$.$= 750 - 150 = 600$.

In a group of $1000$ people,there are $750$ people who can speak Hindi and $400$ who can speak English. How many can speak Hindi only?

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