In a class, $62$ students speak Assamese, $25$ students speak Hindi and $1$ student speaks both the languages. How many speak atleast one of these two languages?

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Solution

Let
$A$ =set of student speaking Assamese
$B$ = set of student speaking Hindi
Number of student speaking at least of language $= A \cup B$
$| A \cup B | = | A | + | B | - | A \cap B |$
$62 + 25 - 1$
$62 + 24$
$| A \cup B | = 86$

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In a class, 62 students speak Assamese, 25 students speak Hindi and 1 student speaks both the languages. How many speak atleast one of these two languages?

LetA=set of student speaking AssameseB= set of student speaking HindiNumber of student speaking at least of language =A∪B|A∪B|=|A|+|B|−|A∩B|62+25−162+24|A∪B|=86

In a class, $62$ students speak Assamese, $25$ students speak Hindi and $1$ student speaks both the languages. How many speak atleast one of these two languages?

Let
$A$ =set of student speaking Assamese
$B$ = set of student speaking Hindi
Number of student speaking at least of language $= A \cup B$
$| A \cup B | = | A | + | B | - | A \cap B |$
$62 + 25 - 1$
$62 + 24$
$| A \cup B | = 86$