Acertain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. the store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. if the order in which the colors are packed is not considered, how many different packages of the types described above are possible? (a) 6
(b) 8
(c) 16
(d) 24
(e) 32

 (C) 16

Step-by-step explanation:

Given : Number of sizes of self-stick notepads= 2

Number of colors = 4

Type 1 : The store packs the notepads in packages that contain 3 notepads of the same size.

i.e. By Fundamental principle of counting , we have

Number of different packages possible = Number of colors x No. of sizes

=

Type 2: Notepads of the same size and of 3 different colors.

Choices for 3 different colors out of 4 :

Again by fundamental principle :

Number of different packages possible = No. of choices for choosing 3 different colors x No. of sizes

=

From Type 1 and Type 2 , the total number of different packages of the types described above are possible =8+8= 16

Hence, the correct answer is option (c) 16.