In a class of 60 students,40 students like math,36 like science, 24 like both the subjects. Find the number of students who like math only? science only? either math or science?neither math nor science?
Answers
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52 Students and 8 Students
Let us assume M and S to be the number of students who likes the subjects math and science respectively.
Given:
Total number of students in the class = 60 students
Number of students who like math = 40 students
Number of students who like science = 36 students
Number of students who like both the subjects = 24 students
To Find:
Number of students who like either math or science = ?
Number of students who like neither math nor science = ?
Solving:
Calculating the number of students who only like the math subject:
= n(M) - n(M∩S)
Substituting the values into this formula we get:
= 40 - 24
= 16 students
Calculating the number of students who like the science subject:
n(M U S)
= n(M) + n(S) - n(M∩S)
Substituting the values into this formula we get:
= 40 + 36 - 24
= 52 students
Calculating the total number of students who like the math or science subject:
= n(M U S)
= n(M) + n(S) - n(M∩S)
Substituting the values into this formula we get:
= 40 + 36 - 24
= 52 students
Therefore, the number of students who like math or science subjects is 52 students.
Calculating the number of students who do not like maths or science subjects:
= Total Number of students - Number of students who like math or science
Substituting the values into this formula we get:
= 60 - 52
= 8 students
Therefore, the number of students who like neither math nor science subjects is 8 students.