Question

In a group of 50 people, 35 speak Hindi ,25 speak both English and Hindi, and all the people speak at least one of the two languages. Then the number of people speak only English are *jii

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Answer 1

Answer:

15 is the correct answer

Answer 2

$Number \:of \: people \: who \: speak \: Hindi\\n(H) = 35$

$Number \: of \: who \: speak \: English \:and \\Hindi \: n(E \cap H) = 25$

$Total \: number \: of \: people \: in \: the \\group \: n( E \cup H ) = 50$

$Let \: Number \:of \: people \: who \: speak \\ English = n(E)$

/* We know that */

$\boxed{ \pink{ n(E) = n(E \cup H ) + n(E \cap H) - n(H) }}$

$\implies n(E) = 50 + 25 - 35\\= 75 - 35 \\= 40$

$Now , \red{ Number \: of \: people \:who }\\\red{ who \: speak \:only \:English } \\= n(E) - n(E \cap H) \\= 40 - 25 \\= 15$

Therefore.,

$\red{ Number \: of \: people \:who }\\\red{ who \: speak \:only \:English }\green { = 15}$

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