Question

In a school ABC, students from a class is classified as follows. 50 students eat vegetarian food, 20 students eat
non-vegetarian food and 10 eat both veg and non-vegetarian food. How many eat at least one of veg and non-
vegetarian food?​

Answer 1

SOLUTION

GIVEN

In a school ABC, students from a class is classified as follows. 50 students eat vegetarian food, 20 students eat non-vegetarian food and 10 eat both veg and non-vegetarian food.

TO DETERMINE

The number of students who eat at least one of veg and non- vegetarian food

EVALUATION

Let A and B denotes the students who eat vegetarian food and non- vegetarian food respectively

Then by the given condition

n(A) = 50 , n(B) = 20 , n(A∩B) = 10

Now the number of students who eat at least one of veg and non- vegetarian food = n(A∪B)

Now

n(A∪B) = n(A) + n(B) - n(A∩B)

⇒ n(A∪B) = 50 + 20 - 10

⇒ n(A∪B) = 60

Hence the required number of students who eat at least one of veg and non- vegetarian food = 60

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