Answer to Question #44036 in Algebra for Daryl Ligutan

Question

Answer using the Venn Diagram.

1. In a certain supermarket 100 people were ask on the preferred brand of shampoo they like to be use:

6 preferred palmolive, sunsilk, dove
14 preferred palmolive and sunsilk
16 preferred palmolive and dove
15 preferred sunsilk and dove
34 preferred palmolive
42 preferred dove
50 preferred sunsilk


How many people preferred:

a. Exactly two types of brand?
b. At most 3 types of brand?
c. At least 2 types of brand?
d. None of the 3 brand?
e. Palmolive brand only?
f. Sunsilk brand only?
g. Dove and Sunsilk brand?
h. Dove or Sunsilk brand?
i. Palmolive or Sunsilk brand?
j. Dove and Sunsilk brand?