Page 239 - MATHEMATICS COURSE FOR SECONDARY SCHOOLS BOOK 2

Alternatively:
The number of students in
Form 3, n(V) = n(A) + n(CNA1) + n(AVC)1
= 60 + 32 + 28 = 120
EXAMPLE 14
U
(b)
(v) The number of students who liked to neither sing nor dance nor act,
n(SUDUA) = 23
(iv) The number of students who liked to sing or dance or act,
n(SUDUA) =25 + 37 + 18 + 12 + 15 = 107
The number of students in Form 3, n(V) = n(SUDUA) + n(SUDUA)
= 107 + 23 = 130
D 18
A
15
23
The Venn diagram shows the numbers of students in Form 3 who liked to sing (S), dance(D) and act(A).
(a) How many students in Form 3 liked to
(i) sing
(ii) both sing and dance
(iii) only act
(iv) sing or dance or act
(v) neither sing nor dance nor act
(b) How many students are there in Form 3?
(a) (i)
The number of students who liked to sing, n(S) = 25 + 37 = 62
(ii) The number of students who liked to both sing and dance,
n(SnD) = 37
(iii) The number of students who liked to only act, n(AND) = 15
S
25 37 12
233