Question

In a class 40 students,12enrolled for both English and German. 22 enrolled for German. If the students of class enrolled for at least one of the two subjects,then how many students enrolled for English and not German?

Answer 1

SOLUTION

GIVEN

• In a class there are 40 students

• 12 enrolled for both English and German

• 22 enrolled for German

• The students of class enrolled for at least one of the two subjects

TO DETERMINE

The number of students enrolled for English and not German

EVALUATION

Let E denotes English and G denotes German

So by the given condition

n( E ∪ G ) = 40

n( E ∩ G ) = 12

n( G ) = 22

Now we are aware of the formula on Set theory that

n(E ∪ G) = n(E) + n(G) - n(E∩G)

$\implies \sf{40 =n(E) + 22 - 12}$

$\implies \sf{n(E) = 40 - 10}$

$\implies \sf{n(E) = 30}$

Now the number of students enrolled for English and not German

= n ( E ∩ G' )

= n (E) - n( E ∩ G )

= 30 - 12

= 18

FINAL ANSWER

The number of students enrolled for English and not German = 18

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. If A and B are two sets then A-B =B-A if

https://brainly.in/question/28848928

2. Write the following sets in roster form

N={x:x is odd number, 21<x<35,XEN

https://brainly.in/question/24185793

Answer 2

Step-by-step explanation:

ETF alternatives to 6 00 to 6 00 to 6 00 to 6 00 to 6 00 to 6 to 6