Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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In a Group of 950 Persons, 750 Can Speak Hindi and 460 Can Speak English. Find: How Many Can Speak English Only. - Mathematics

In a group of 950 persons, 750 can speak Hindi and 460 can speak English. Find: 

how many can speak English only. 

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Solution

Let A & B denote the sets of the persons who like Hindi & English, respectively. 

\[\text{ Given }: \]
\[n\left( A \right) = 750\]
\[n\left( B \right) = 460\]
\[n\left( A \cup B \right) = 950\]

\[n\left( B - A \right) = n\left( B \right) - n\left( A \cap B \right)\]
\[ \Rightarrow n\left( B - A \right) = 460 - 260\]
\[ = 200\]
\[\text{ Thus, 200 persons can speak only English } .\]

Concept: Universal Set
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 1 Sets
Exercise 1.8 | Q 7.3 | Page 47
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