A certain office supply store stocks 2 sizes of self-sticknotepads, each in 4 colors: blue, green,yellow, or pink. The store packs thenotepads in packages that contain either 3 notepads of the same size and thesame 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 manydifferent packages of the types described above are possible?
6
8
16
24
32
C. 16
Case 1: 3 Notepads of the same colour and same size
1st size , 4 colours so 4 options
2nd size, 4 colours so 4 options
Total 8
Case 2: Same size, different colour, arrangement does not matter, so its combination here.
1st size: 4 colours, in different groups of 3 - 4C3 notepads can be made
2nd size: same as above
Total: 4+4 = 8
Ans. 8+8=16