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GATE CSE 2024 | Set 2 | GA Question: 2

in Quantitative Aptitude edited by
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​​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?

  1. $24$
  2. $48$
  3. $16$
  4. $12$
in Quantitative Aptitude edited by
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Answer: $4! = 24.$

Mixing 4 distinct elements in all possible orders can be done in $4!$ ways.
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