2 sizes of sticky pads. Each has 4 colors - Blue, Green, Yellow, and Purple. The pads are packed in packages that contain either 3 notepads of same size and same color or 3 notepads of same size and of 3 different colors. How many different packages of the types described are possible?
Okay, calm down tejal... keeping head cool is the key... This problem is very easy if you employ the correct approach and here is the right one:
Packages can be prepared in following 2 ways:
1) 3 notepads of same size and same color
2) 3 notepads of same size and of 3 different colors
Lets go step by step.
1) 3 notepads of same size and same color:
We know that there are 2 sizes of pads and 4 colors in total. We want to keep the size and color same. so there are 2*4 = 8 ways to create package.
2) 3 notepads of same size and of 3 different colors:
We want to select 3 colors out of 4 available = 4C3 = 4
And there are 2 sizes of notepad available. So the total ways in which a package can be created is = 4C3*2 = 8
So total 8+8 = 16 packages can be created. Answer is C.
Questions? Bring them on