Question

IN A CLASS OF 50 STUDENTS, 30 STUDENTS LIKE MATHEMATICS, 25 LIKE SCIENCE ,AND 16 LIKE BOTH . FIND THE NO. OF STUDENTS WHO LIKE
1. EITHER MATHEMATICS OR SCIENCE
2. NEITHER MATHEMATICS NOR SCIENCE

Answer 1

$50- 16 = 34$
1)So 34 students like either Math or Science or no subject.

Since 16 students like both, 30 students like math and
$30 - 16 = 14$
14 student like only math and same way
$25 - 16 = 9$

9 students like only science.

2)Number of students who like neither science nor math = total number of students - The number of students that like atleast one subject
$50 - 16 - 9 - 14 = 1$
So only 1 students like neither math nor science.

Answer 2

Answer:

50- 16 = 3450−16=34

1)So 34 students like either Math or Science or no subject.

Since 16 students like both, 30 students like math and

30 - 16 = 1430−16=14

14 student like only math and same way

25 - 16 = 925−16=9

9 students like only science.

2)Number of students who like neither science nor math = total number of students - The number of students that like atleast one subject

50 - 16 - 9 - 14 = 150−16−9−14=1

So only 1 students like neither math nor science.