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Question: Answered & Verified by Expert
In how many ways can 9 examination papers be arranged so that the best and the worst papers are never together?
MathematicsPermutation CombinationAP EAMCETAP EAMCET 2021 (19 Aug Shift 2)
Options:
  • A 9!2!×7!
  • B 9!2!×8!
  • C 9!8!
  • D 9!7!
Solution:
2934 Upvotes Verified Answer
The correct answer is: 9!2!×8!

The number of ways in which 9 papers can be arranged are 9! ways.

Take Best and Worst papers as one unit then, 9-1!=8!

The best and worst papers can arrange themselves in 2! ways.

Total number of ways =9!-2!×8!

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