Question

In a class of 80 students, 44 students enrolled to study Spanish & 24 students enrolled to study both French and Spanish. If all the students of the class enrolled for at least one of the two subjects mentioned, then find the total number of students enrolled for only French and not Spanish?​

Answer 1

Answer:

hiii

your answer is here !

Step-by-step explanation:

=> Let A be the set of students who enrolled for French Language and B be the set of students who enrolled for Spanish Language.

=> So, (A ∪ B) is the set of students who enrolled for at least one of the two languages.

=> As the students of the class have enrolled for at least one of the two languages,

=> so A ∪ B = 80

=> A ∪ B = A + B - (A n B)

=> i.e, 80 = A + 44 - 24

=> or A = 60 which is the set of students who enrolled for French and includes those who enrolled for both the languages.

=> But, we need to find out the number of students who enrolled for French only= Students enrolled for French - Students enrolled for both French & Spanish.

= 60 - 24 = 36

=> follow me !

Answer 2

Answer:

Let students who study Spanish = S = 44

who study french = F

we know that ,

Total values are denoted by F U S = 80

Study both means , Common values denoted by F n S = 24

now,

F u S = (F) + (S) + F n S

80 = F + 44 - 24

F = 80-(44-24)

F = 60

so,

students who study only French are =

F' = (F) - (F n S)

F' = 60 - 24

F' = 36 (Ans)