A certain office supply store stocks 2 sizes of 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 color. 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
OA - C
Please explain. Thanks.
notepads - gmatprep
This topic has expert replies
let sizes be A and B
same size and the same color, For Size A
count = 4 ( Size A and color Blue, Green, yellow, Pink)
same size and the same color, For Size B
count = 4
Total = 8
same size and of 3 different color, For size A
4C3
count = 4
same size and of 3 different color, For size B
4C3
count = 4
Total = 8
Different packages = 8 + 8 = 16
Ans C
same size and the same color, For Size A
count = 4 ( Size A and color Blue, Green, yellow, Pink)
same size and the same color, For Size B
count = 4
Total = 8
same size and of 3 different color, For size A
4C3
count = 4
same size and of 3 different color, For size B
4C3
count = 4
Total = 8
Different packages = 8 + 8 = 16
Ans C