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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?

A. 6
B. 8
C. 16
D. 24
E. 32

Respuesta :

Answer:

The answer is C. 16

Step-by-step explanation:

Notepads of the same color = 4

As we have two sizes then total for the same color = [tex]4\times2=8[/tex]

Notepads of the different colors as we have to choose 3 different colors out of 4 = 4C3 = 4

For two sizes the total for the different color = [tex]4\times2=8[/tex]

We can group these like - Same size same color package:

There are eight combinations

Size 1:

BBB  

GGG

YYY

PPP

Size 2:

BBB

GGG

YYY

PPP

Next groups form like : Same size different color

Size 1:

BGY

BYP

GYP

BGP

Size 2:

BGY

BYP

GYP

BGP

So, we get total =[tex]8+8=16[/tex]

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