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CA Foundation · Quantitative Aptitude · Permutations and Combinations

A restaurant in Kochi offers 4 types of starters, 6 types of main course and 3 types of desserts. A meal consists of one starter, one main course and one dessert. How many different meals are possible?

There are 72 possible meals. A meal needs one starter, one main course and one dessert chosen in succession, so the multiplication principle gives 4 × 6 × 3 = 72. Adding the choices would give 13, which wrongly treats them as alternatives.

  1. A13
  2. B72Correct
  3. C48
  4. D24

Explanation

By the multiplication principle, the choices are independent, so the number of meals is 4 × 6 × 3 = 72. Adding the numbers (4+6+3 = 13) is wrong because it treats the choices as alternatives rather than successive stages.

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