IBPS
Government Jobs Exams
Numerical Ability
Permutation and Combination
73) The word ABUSER is permuted in all possible ways and arranged in alphabetical order, what word will be there in 49th position?
a) ARBSEU
b) ARBESU
c) ARBSUE
d) ARBEUS
Read Solution (Total 3)
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- b) ARBESU is d correct ans
- 11 years agoHelpfull: Yes(2) No(0)
- Dictionary form will be like A, B , E, R , S U
But we need 49 th word so
keep AB fixed the we get 24 arrangement of other 4 letters, then AE same 24 letters ..which makes as 48 ..the next letter will be AR everything in lexicographic order so ARBESU - 10 years agoHelpfull: Yes(1) No(0)
- See words in APHABETICAL ORDER ARE
A, B ,E,R,S,U
If we fix A and rest letters(BERSU)can be arranged in 5! ways=120-->It crosses 49 and hence we need to fix B too.
Now with A and B fixed...rest letters ERSU can be arraned in 4!ways=24
SO 24 words can be reacged by AB...anythinghere
Now if we move ahead of B...E comes So keeping
A and E fiexed..remailning letters BRSU can be arranged in 24 ways.
Total words formed=48 when A B/E have been take care of
Now next in sequence after E is R
Fixing A nd R...we need the first word in alphabetical sequence out of re,maining letters BESU....which is BESU
hence 49th word= AR BESU - 9 years agoHelpfull: Yes(0) No(0)
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