Question

there are 30 students in a class. among them, 8 students are learning both english and french. a total of 18 students are learning english. if every student is learning at least one language, how many students are learning french in total?

Answer 1

12 students are learning French in total

Answer 2

The number of students learning French is 20.

• The total number of students in a class is 30.

n(∪) = 30

• 8 students are learning both french as wall as english.

n(A∩B) = 8

• A total of 18 students are learning English

n(A) = 18

• We have to find the number of students learning French
• We have an identity,

n(U) = n(A) + n(B) -n(A∩B)

• Substituting the known values, we get

30 = 18 + n(B) - 8

n(B) = 20

• The number of students speaking french is 20.