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02.03.2020 •
Mathematics
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?
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Ответ:
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
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 =
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.
Ответ: