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

Answer 1

16 D

Step-by-step explanation:

Here we need to just add the different combination for each kind of pack.

1. ) packs of 3 small pads of the same color (4 posible packages, one for each color)
2. ) packs of 3 big pads of the same color (another 4 posibilities)
3. ) packs of 3 small pads of different colors. (see below)
4. ) packs of 3 big pads of different colors. (see below)

For the different color packs, since there are 4 possible colors and each pack includes 3 (non repeating and with no care for it's order) we can just look at the color left behind.

Since in all the combinations only one color is left outside we can note that there are 4 posibilities for each size.

So basically you can have 4 posibilities for each kind of pack, and there are 4 kind of packs. So the answer is 4 x 4 = 16