In a class of 100, 35 like science and 45 like math. 10 like both. How many like either of them and how many like neither?
Answers
Given:
Total number of students that are there in the class n(T)
= 100 students
Number of students who like science subject n(S)
= 35 students
Number of students who like math subject n(M)
= 45 students
Number of students who like both the subjects n(M ∩ S)
= 10 students
Calculating the number of students who like either of them:
n(MᴜS) = n(M) + n(S) – n(M∩S)
Substituting the values known to us in this formula we get:
= 45+35-10
= 70
Therefore, 70 students either like maths or science subjects.
Calculating the number of students who neither like maths or science:
n(T) – n(MᴜS)
Substituting the values known to us in this formula we get:
= 100 – 70
= 30
Therefore, 30 students neither like math or science subjects.
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