A, B and C are three restaurants in Taman Damai. A group of residents in Taman Damai were asked to name the restaurants they like. The Venn diagram shows part of the results of the survey.

Given:
A = {residents who like restaurant A}
B = {residents who like restaurant B}
C = {residents who like restaurant C}
It is given that 20 residents like restaurant A
or B, 22 residents like restaurant B or C and
7 residents do not like restaurant A or C.
Calculate the number of residents who
(a) like restaurant C only.
(b) like restaurant A but do not like restaurant B.
(c) do not like restaurant A or B.

Please help me to solve this question and explain it to me. Thanks.(｡･ω･｡)
Silly answer will be report.

(a) 5

(b) 10

(c) 10

Step-by-step explanation:

There are 20 people who like A or B.  There are 4+6=10 people who like B, so there are 10 people who like A but not B (the region of the Venn diagram that is outside B and inside A).  This answers part b.

Since there are 3 people who like A only, there are 10−3=7 people who like A and C but not B (the intersection of A and C that is outside B).

Next, there are 22 people who like B or C.  There are 4+6=10 people who like B, and 7 people who like A and C but not B.  Therefore, there are 22−10−7=5 people who like C only.  This answers part a.

Finally, there are 7 people who don't like A or C (the region of the diagram that is outside of the circles but inside the rectangle).  And as previously found, there are 5 people who like C only.  So the number of people who don't like A or B (but may or may not like C) is 7+5=12.

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %