Latest TCS Aptitude Question SOLUTION: If the word MONOS is permuted then the probability that O’s never come together?

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If the word MONOS is permuted then the probability that O’s never come
together?

Asked In TCS poojaMali (11 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

sainath  (11 years ago)

POOJAMALI is correct...

Total permutations by MONOS = 5!/2!=120/2=60
If O's comes together then with M,N,OO,S we can form 4!=24 words
So the words with O's never come together are =total- O's comes together
=60-24=36
so probability of O's never come together=36/60=3/5...

Is this solution Helpfull? Yes (90) | No (3)  

nidhi agrawal  (11 years ago)

Total combination=5!/2!(because o is repeating).
and now combination if we combine os and so never come together=(5!/2!)-(4!*2!)
ans is 1/5.

Is this solution Helpfull? Yes (9) | No (10)  

poojaMali  (11 years ago)

is 3/5 is right ans by calculating the 60-4!/60

Is this solution Helpfull? Yes (6) | No (7)  

Santosh Kumar M S  (11 years ago)

total MONOS so 5!=120
O come together (OO)MNS so 4!=24
(00) 2!/2!== 1
so 24*1=24
prob 24/120==1/5
but OOnever come tgr so prob 1-(1/5) =4/5

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Madhurima  (11 years ago)

((5!/2!)-4!)/(5!/2!)

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vipin  (9 years ago)

1-(4!*2!/5!)=3/5

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prashant kumar pandey  (9 years ago)

if o always come together than permutation=4!=24
total permutaion of arranging the word is=5!/2=60
so if o never come together =60-24=36
so probability of never come together=36/60=3/5
option (D) is correct

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