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

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 =

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 =

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 =

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

x = 23.78

step-by-step explanation: