Question

In a class, all students take part in either music or drama or both. 25 students take part
in music, 30 students take part in drama and 8 students take part in both music and
drama. Find
(i) The number of students who take part in only music.
(ii) The number of students who take part in only drama.
(iii) The total number of students in the class.​

Answer 1

Step-by-step explanation:

a is set of students taking part in music

b is set of students taking part in drama

n(a)=25.

n(b)= 30

n(a intersection b) = 8

i) n(a)' =n(a) - n(a intersection b)

=25-8=17

ii) n(b)' =n(b) - n(a intersection b)

=30-8=22

iii) n(aUb) = n(a)+n(b)-n(a intersection b)

=30+25-8=37

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