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Question 10 : There are 12 copies of Beetles CDs, 7 copies of Pink Floyd CDs, 3 different CDs of Michael Jackson, and 2 different CDs of Madonna. Find the number of ways in which one or more than one CD can be selected?

  1. 3388
  2. 3376
  3. 3366
  4. 3327

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Explanatory Answer

For Beetles and Pink Floyd
Since we have copies of CD's only the number of CD's count, and not which beetle/ which pink gets picked
Decision making here is number of items
Beetle , 0 or 1 or ....., 12
Pink Floyd , 0 or 1 or ..... 7

For Michael Jackson (M1, M2, M3) - What I'm selecting matters
So, M1 is in or out (2 possibilities), and
M2 is in or out (2 possibilities). M3 is in or out (2 possibilities)

So, 2 × 2 × 2 = 8 ways for selecting Michael Jackson CD's
Similarly 2 × 2 = 4 ways for selecting Madonna CD's.

So, Beetle = 13 ways × Pink = 8 ways × Michael Jackson 8 ways × Madonna 4 ways

In this whole thing we are subtracting 1, Since that will be a possibility where nothing is selected.
(13 × 8 × 8 × 4) - 1
= 3327 ways.

The answer is 3327

Choice D is the correct answer.

 

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