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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