CMA Foundation · Fundamentals of Business Mathematics and Statistics · Permutation and Combinations
A Mumbai firm offers 4 different laptop models and 3 different bag designs. Each customer picks one laptop and one bag as a bundle. How many different bundles can be formed?
There are 12 different bundles. Selecting a laptop and a bag are two independent steps that both occur, so the choices multiply: 4 laptop models times 3 bag designs equals 12. Adding them would give 7, which applies to alternatives, not joint choices.
- A7
- B12Correct
- C64
- D81
Explanation
Choosing a laptop and a bag are two independent stages, so by the multiplication principle the bundles number 4 × 3 = 12. Adding gives 7, which wrongly treats the stages as alternatives.
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