Question

In abhis class of 44 students,28 students speak malayalam,26 students speak tamil,9 students speak none of the two languages. How many students speak both tamil & malayalam

Answer 1

Answer:

Well, please give correct information of the question

Answer 2

The number of students speak both tamil & malayalam = 19

Given :

In abhis class of 44 students , 28 students speak malayalam , 26 students speak tamil , 9 students speak none of the two languages

To find :

The number of students speak both tamil & malayalam

Solution :

Step 1 of 2 :

Write down the given dats

Let S = Total students in the class

A = Students who speak malayalam

B = Students who speak tamil

Then, n(S) = 44 , n(A) = 28 , n(B) = 26

The number of students speak none of the two languages

= n( A' ∩ B')

= 9

Step 2 of 2 :

Find number of students speak both tamil & malayalam

n( A' ∩ B') = 9

⇒ n [( A ∪ B)'] = 9

⇒ n(S) - n( A ∪ B) = 9

⇒ 44 - n( A ∪ B) = 9

⇒ n( A ∪ B) = 35

⇒ n(A) + n(B) - n( A ∩ B) = 35

⇒ 28 + 26 - n( A ∩ B) = 35

⇒ 54 - n( A ∩ B) = 35

⇒ n( A ∩ B) = 54 - 35

⇒ n( A ∩ B) = 19

The number of students speak both tamil & malayalam = 19

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ consider the above set A. Insert the appropriate symbol E of E/ in each of the following blank spaces (a) -3...A (b) 9...

https://brainly.in/question/28046206

2. if A ={2,3} and B= { x|x is solution of x^2 + 5x + 6= 0}

Are there A and B equal set or disjoint set?

https://brainly.in/question/21681247