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GATE CSE 2024 Session 2 Q2: Number of orders in which four elements can be mixed

Question

Two wizards try to create a spell using all the four elements, water, air, fire, and earth. For this, they decide to mix all these elements in all possible orders. They also decide to work independently. After trying all possible combination of elements, they conclude that the spell does not work.

How many attempts does each wizard make before coming to this conclusion, independently?

Try it: multiple choice: exactly one correct option

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Answer: A (official GATE 2024 final answer key)

Concept used: Permutations of distinct objects.

First step: Each wizard independently tries every ordering of 4 distinct elements, which is 4!4!.

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Source: official GATE 2024 Session 2 CS question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key

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