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10 examination papers are arranged in such a way that the best and worst papers never come together. The number of arrangements is(1) 9×8!(2) 10!(3) 8×9!(4) none of these

10 examination papers are arranged in such a way that the best and worst papers never come together. The number of arrangements is(1) 9×8!(2) 10!(3) 8×9!(4) none of these

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
No. of ways in which 10 paper can arranged is 10! Ways.
When the best and the worst papers come together, regarding the two as one paper, we have only 9 papers.
These 9 papers can be arranged in 9! Ways.
And two papers can be arranged themselves in 2! Ways.
No. of arrangement when best and worst paper do not come together,
= 10! –9!.2! = 9!(10 –2) = 8*9!.
hence option (3) is correct

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