Latest Elitmus Aptitude Question SOLUTION: In How many ways can 12 papers be arranged if the best and the worst papers never come together?

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(#M40036934) ELITMUS Numerical Ability question Keep an EYE

In How many ways can 12 papers be arranged if the best and the worst papers never come together?

Asked In Elitmus Dada Khalandar (10 years ago)

Solved sourav karan Read Solution (7)

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Read Solution (7) :

sourav karan  (10 years ago)

assume two particular paper as one paper,so total number of ways to arrenge this=(12-1)!=11!,now these two paper can be arrenged in 2 ways......without any restriction paper can be arrenged in 12! ways.
so number ways is=12!-2.11!=10.11!ways

Is this solution Helpfull? Yes (82) | No (2)  

ruby gupta  (10 years ago)

firstly we find how many all arrangement r possible of 12 papers ie=12!
now when best n worst papr always comes together ie=11!*2!
then when best n worst papr r never comes together=all arrangement-worst n best always comes together
=12!-11!2!
=399168000

Is this solution Helpfull? Yes (22) | No (1)  

Sakshi kochhar  (10 years ago)

12!-(11!*2!)

Is this solution Helpfull? Yes (8) | No   

Natasha Arora  (10 years ago)

First of arrange 12 papers 12! No. Of ways equals 12!-2*11!

Is this solution Helpfull? Yes (2) | No   

Asif Hisain Jafri  (5 years ago)

here are 5 letters and five addressed envelopes. the number of ways in which all the letters can be put in wrong envelopes is

Total Number of ways = 5! = 120

The formula for the derangement can be used directly. The number of derangements is

n! (1/2!−1/3!+1/4!+…+(−1)ⁿ/n!)

Here n = 5

5 ! ( 1/2! - 1/3! + 1/4! - 1/5!)

= 120 ( 1/2 - 1/6 + 1/24 - 1/120)

= 60 - 20 + 5 - 1

= 65 - 21

= 44
So probabilty = 44/120

Is this solution Helpfull? Yes (1) | No   

Venkatesh  (9 years ago)

First assume two papers as one paper... So that remaining papers arranged in 11! Ways . And two papers so, 11!*2
So , we have 13 spaces between 12 papers so, the two papers arranged in 12! Ways ... So finally we can arrange that 2 papers in
12!-11!*2

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Aman Priya  (9 years ago)

all arrangements - arrangements with best and worst paper together=12! -2! * 11!

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