Question

Each student in a class of 40, studies at least one of the subjects English, Mathematics and Economics.16 study English, 22 Economics and 26 Mathematics, 5 study English and Economic, 14 Mathematics and Economics and 2 study all the three subjects. The number of students who study English and Mathematics but not Economics​

Answer 1

Answer:

5

Step-by-step explanation:

Total Students = T = 40

Each student studies at least one of the subjects

None Subject = N 0

English E = 16

EConomics = C = 22

Mathematics = M = 26

English and Economic = E ∩ C = 5

Mathematics and Economics = M ∩ C = 14

English and Mathematics = E ∩ M = ?

all the three subjects. = E ∩ C ∩ M = 2

T = E + C + M - E ∩ C - M ∩ C - E ∩ M + E ∩ C ∩ M

40 = 16 + 22 + 26 - 5 - 14 - E ∩ M + 2

E ∩ M = 7

number of students who study English and Mathematics but not Economics=

E ∩ M - E ∩ C ∩ M = 7 - 2= 5

Answer 2

Answer:

5

hope it had helped you