Question

A certain 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?

Answer 1

Answer:

Therefore  different packages of types are 16.

Step-by-step explanation:

Combination: Combination is the number of ways of selection of items from a collection where the order of selection does not matter.

2 sizes of self stick notepads which are 4 different in color.

Case 1

3 note pads of same size and same color.

The ways of selecting 1 color from 4 colors $^4C_1=4$

There are two types of notepads.

Ways of packaging is = (4×2) = 8

Case 2

3 notepads of same size and of 3 different colors.

The ways of selecting 3 colors from 4 color is =$^4C_3=4$

Since there are 2 size of notepads.

Ways of packaging is = (4×2) = 8

Therefore (8+8)=16 different packages of types described above are possible.