Question

In a class of 50 students, 22 like History, 25 like Geography and 10 like both subjects. Drawa Venn diagram and find the number of students who(1) do not like History (ii) do not like Geography(lit) like neither History nor Geography​

Answer 1

Answer:

Explanation:

Let n(A) represent number of student in subject A

given that

number of student in History n(H) = 20

number of students in Geography n(G) = 19

number of students in both subjects n(H∩G) = 5

total number of students n(U) = 50

number of students in neither of subject n(H∪G)' = ?

n(H∪G) = n(H) + n(G) - n(H∩G)

n(H∪G) = 20 + 19 - 5

n(H∪G) = 34

n(H∪G)' = n(U) - n(H∪G)

n(H∪G)' = 50 - 34

n(H∪G)' = 16

hence number of students in neither of subject n(H∪G)' = 16

This is also explained by a Venn diagram: